Finding the Fourth Proportional to 10,588.32, 14,612.40 and 5,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.32 : 14,612.40 = 5,872.50 : x
2. Step 2: Convert to fraction form
   10,588.32/14,612.40 = 5,872.50/x
3. Step 3: Cross multiply
   10,588.32x = 14,612.40 × 5,872.50
4. Step 4: Simplify right side
   10,588.32x = 85,811,319
5. Step 5: Solve for x
   x = 85,811,319/10,588.32
6. Step 6: Final answer
   x = 8,104.34