Finding the Fourth Proportional to 10,588.62, 14,611.88 and 5,872.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.62 : 14,611.88 = 5,872.80 : x
2. Step 2: Convert to fraction form
   10,588.62/14,611.88 = 5,872.80/x
3. Step 3: Cross multiply
   10,588.62x = 14,611.88 × 5,872.80
4. Step 4: Simplify right side
   10,588.62x = 85,812,663.55
5. Step 5: Solve for x
   x = 85,812,663.55/10,588.62
6. Step 6: Final answer
   x = 8,104.23