Finding the Fourth Proportional to 9,715.50, 14,578.53 and 3,872.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,715.50 : 14,578.53 = 3,872.10 : x
2. Step 2: Convert to fraction form
   9,715.50/14,578.53 = 3,872.10/x
3. Step 3: Cross multiply
   9,715.50x = 14,578.53 × 3,872.10
4. Step 4: Simplify right side
   9,715.50x = 56,449,526.01
5. Step 5: Solve for x
   x = 56,449,526.01/9,715.50
6. Step 6: Final answer
   x = 5,810.25