Finding the Fourth Proportional to 10,588.20, 14,612.01 and 5,872.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.20 : 14,612.01 = 5,872.78 : x
2. Step 2: Convert to fraction form
   10,588.20/14,612.01 = 5,872.78/x
3. Step 3: Cross multiply
   10,588.20x = 14,612.01 × 5,872.78
4. Step 4: Simplify right side
   10,588.20x = 85,813,120.09
5. Step 5: Solve for x
   x = 85,813,120.09/10,588.20
6. Step 6: Final answer
   x = 8,104.60