Finding the Fourth Proportional to 14,311.50, 21,468.33 and 5,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,311.50 : 21,468.33 = 5,077.50 : x
2. Step 2: Convert to fraction form
   14,311.50/21,468.33 = 5,077.50/x
3. Step 3: Cross multiply
   14,311.50x = 21,468.33 × 5,077.50
4. Step 4: Simplify right side
   14,311.50x = 109,005,445.58
5. Step 5: Solve for x
   x = 109,005,445.58/14,311.50
6. Step 6: Final answer
   x = 7,616.63