Finding the Fourth Proportional to 185,978.38, 256,649.97 and 101,096.05

Step by Step Solution

1. Step 1: Write the proportion equation
   185,978.38 : 256,649.97 = 101,096.05 : x
2. Step 2: Convert to fraction form
   185,978.38/256,649.97 = 101,096.05/x
3. Step 3: Cross multiply
   185,978.38x = 256,649.97 × 101,096.05
4. Step 4: Simplify right side
   185,978.38x = 25,946,298,199.62
5. Step 5: Solve for x
   x = 25,946,298,199.62/185,978.38
6. Step 6: Final answer
   x = 139,512.44