Finding the Fourth Proportional to 10,588.13, 14,611.57 and 5,872.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.13 : 14,611.57 = 5,872.41 : x
2. Step 2: Convert to fraction form
   10,588.13/14,611.57 = 5,872.41/x
3. Step 3: Cross multiply
   10,588.13x = 14,611.57 × 5,872.41
4. Step 4: Simplify right side
   10,588.13x = 85,805,115.10
5. Step 5: Solve for x
   x = 85,805,115.10/10,588.13
6. Step 6: Final answer
   x = 8,103.90