Finding the Fourth Proportional to 10,578.71, 14,600.17 and 6,101.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.71 : 14,600.17 = 6,101.59 : x
2. Step 2: Convert to fraction form
   10,578.71/14,600.17 = 6,101.59/x
3. Step 3: Cross multiply
   10,578.71x = 14,600.17 × 6,101.59
4. Step 4: Simplify right side
   10,578.71x = 89,084,251.27
5. Step 5: Solve for x
   x = 89,084,251.27/10,578.71
6. Step 6: Final answer
   x = 8,421.09