Finding the Fourth Proportional to 10,588.24, 14,611.40 and 5,872.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.24 : 14,611.40 = 5,872.86 : x
2. Step 2: Convert to fraction form
   10,588.24/14,611.40 = 5,872.86/x
3. Step 3: Cross multiply
   10,588.24x = 14,611.40 × 5,872.86
4. Step 4: Simplify right side
   10,588.24x = 85,810,706.60
5. Step 5: Solve for x
   x = 85,810,706.60/10,588.24
6. Step 6: Final answer
   x = 8,104.34