Finding the Fourth Proportional to 8,588.16, 12,864.96 and 5,123.52

Step by Step Solution

1. Step 1: Write the proportion equation
   8,588.16 : 12,864.96 = 5,123.52 : x
2. Step 2: Convert to fraction form
   8,588.16/12,864.96 = 5,123.52/x
3. Step 3: Cross multiply
   8,588.16x = 12,864.96 × 5,123.52
4. Step 4: Simplify right side
   8,588.16x = 65,913,879.86
5. Step 5: Solve for x
   x = 65,913,879.86/8,588.16
6. Step 6: Final answer
   x = 7,674.97