Finding the Fourth Proportional to 10,585.52, 14,604.64 and 7,049.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.52 : 14,604.64 = 7,049.28 : x
2. Step 2: Convert to fraction form
   10,585.52/14,604.64 = 7,049.28/x
3. Step 3: Cross multiply
   10,585.52x = 14,604.64 × 7,049.28
4. Step 4: Simplify right side
   10,585.52x = 102,952,196.66
5. Step 5: Solve for x
   x = 102,952,196.66/10,585.52
6. Step 6: Final answer
   x = 9,725.76