Finding the Fourth Proportional to 10,588.23, 14,612.22 and 5,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.23 : 14,612.22 = 5,872.50 : x
2. Step 2: Convert to fraction form
   10,588.23/14,612.22 = 5,872.50/x
3. Step 3: Cross multiply
   10,588.23x = 14,612.22 × 5,872.50
4. Step 4: Simplify right side
   10,588.23x = 85,810,261.95
5. Step 5: Solve for x
   x = 85,810,261.95/10,588.23
6. Step 6: Final answer
   x = 8,104.31