Finding the Fourth Proportional to 10,588.41, 14,612.67 and 5,872.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.41 : 14,612.67 = 5,872.77 : x
2. Step 2: Convert to fraction form
   10,588.41/14,612.67 = 5,872.77/x
3. Step 3: Cross multiply
   10,588.41x = 14,612.67 × 5,872.77
4. Step 4: Simplify right side
   10,588.41x = 85,816,850.00
5. Step 5: Solve for x
   x = 85,816,850.00/10,588.41
6. Step 6: Final answer
   x = 8,104.79