Finding the Fourth Proportional to 10,588.80, 14,612.52 and 5,872.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.80 : 14,612.52 = 5,872.96 : x
2. Step 2: Convert to fraction form
   10,588.80/14,612.52 = 5,872.96/x
3. Step 3: Cross multiply
   10,588.80x = 14,612.52 × 5,872.96
4. Step 4: Simplify right side
   10,588.80x = 85,818,745.46
5. Step 5: Solve for x
   x = 85,818,745.46/10,588.80
6. Step 6: Final answer
   x = 8,104.67