Finding the Fourth Proportional to 10,553.26, 14,562.86 and 5,772.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,553.26 : 14,562.86 = 5,772.30 : x
2. Step 2: Convert to fraction form
   10,553.26/14,562.86 = 5,772.30/x
3. Step 3: Cross multiply
   10,553.26x = 14,562.86 × 5,772.30
4. Step 4: Simplify right side
   10,553.26x = 84,061,167.92
5. Step 5: Solve for x
   x = 84,061,167.92/10,553.26
6. Step 6: Final answer
   x = 7,965.42