Finding the Fourth Proportional to 10,504.71, 14,496.50 and 5,788.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,504.71 : 14,496.50 = 5,788.99 : x
2. Step 2: Convert to fraction form
   10,504.71/14,496.50 = 5,788.99/x
3. Step 3: Cross multiply
   10,504.71x = 14,496.50 × 5,788.99
4. Step 4: Simplify right side
   10,504.71x = 83,920,126.13
5. Step 5: Solve for x
   x = 83,920,126.13/10,504.71
6. Step 6: Final answer
   x = 7,988.81