Finding the Fourth Proportional to 10,588.31, 14,612.18 and 5,872.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.31 : 14,612.18 = 5,872.90 : x
2. Step 2: Convert to fraction form
   10,588.31/14,612.18 = 5,872.90/x
3. Step 3: Cross multiply
   10,588.31x = 14,612.18 × 5,872.90
4. Step 4: Simplify right side
   10,588.31x = 85,815,806.03
5. Step 5: Solve for x
   x = 85,815,806.03/10,588.31
6. Step 6: Final answer
   x = 8,104.77