Finding the Fourth Proportional to 10,588.52, 14,611.59 and 5,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.52 : 14,611.59 = 5,872.50 : x
2. Step 2: Convert to fraction form
   10,588.52/14,611.59 = 5,872.50/x
3. Step 3: Cross multiply
   10,588.52x = 14,611.59 × 5,872.50
4. Step 4: Simplify right side
   10,588.52x = 85,806,562.28
5. Step 5: Solve for x
   x = 85,806,562.28/10,588.52
6. Step 6: Final answer
   x = 8,103.73