Finding the Fourth Proportional to 10,588.30, 14,611.32 and 5,872.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.30 : 14,611.32 = 5,872.48 : x
2. Step 2: Convert to fraction form
   10,588.30/14,611.32 = 5,872.48/x
3. Step 3: Cross multiply
   10,588.30x = 14,611.32 × 5,872.48
4. Step 4: Simplify right side
   10,588.30x = 85,804,684.47
5. Step 5: Solve for x
   x = 85,804,684.47/10,588.30
6. Step 6: Final answer
   x = 8,103.73