Finding the Fourth Proportional to 10,592.29, 14,611 and 7,007.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592.29 : 14,611 = 7,007.33 : x
2. Step 2: Convert to fraction form
   10,592.29/14,611 = 7,007.33/x
3. Step 3: Cross multiply
   10,592.29x = 14,611 × 7,007.33
4. Step 4: Simplify right side
   10,592.29x = 102,384,098.63
5. Step 5: Solve for x
   x = 102,384,098.63/10,592.29
6. Step 6: Final answer
   x = 9,665.91