Finding the Fourth Proportional to 42,978.38, 64,384.16 and 24,201.14

Step by Step Solution

1. Step 1: Write the proportion equation
   42,978.38 : 64,384.16 = 24,201.14 : x
2. Step 2: Convert to fraction form
   42,978.38/64,384.16 = 24,201.14/x
3. Step 3: Cross multiply
   42,978.38x = 64,384.16 × 24,201.14
4. Step 4: Simplify right side
   42,978.38x = 1,558,169,627.02
5. Step 5: Solve for x
   x = 1,558,169,627.02/42,978.38
6. Step 6: Final answer
   x = 36,254.74