Finding the Fourth Proportional to 10,588.46, 14,612.15 and 5,872.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.46 : 14,612.15 = 5,872.82 : x
2. Step 2: Convert to fraction form
   10,588.46/14,612.15 = 5,872.82/x
3. Step 3: Cross multiply
   10,588.46x = 14,612.15 × 5,872.82
4. Step 4: Simplify right side
   10,588.46x = 85,814,497.40
5. Step 5: Solve for x
   x = 85,814,497.40/10,588.46
6. Step 6: Final answer
   x = 8,104.53