Finding the Fourth Proportional to 100,978.76, 151,468.50 and 30,857.78

Step by Step Solution

1. Step 1: Write the proportion equation
   100,978.76 : 151,468.50 = 30,857.78 : x
2. Step 2: Convert to fraction form
   100,978.76/151,468.50 = 30,857.78/x
3. Step 3: Cross multiply
   100,978.76x = 151,468.50 × 30,857.78
4. Step 4: Simplify right side
   100,978.76x = 4,673,981,649.93
5. Step 5: Solve for x
   x = 4,673,981,649.93/100,978.76
6. Step 6: Final answer
   x = 46,286.78