Finding the Fourth Proportional to 10,588.02, 14,610.50 and 5,872.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.02 : 14,610.50 = 5,872.30 : x
2. Step 2: Convert to fraction form
   10,588.02/14,610.50 = 5,872.30/x
3. Step 3: Cross multiply
   10,588.02x = 14,610.50 × 5,872.30
4. Step 4: Simplify right side
   10,588.02x = 85,797,239.15
5. Step 5: Solve for x
   x = 85,797,239.15/10,588.02
6. Step 6: Final answer
   x = 8,103.24