Finding the Fourth Proportional to 10,406.52, 14,364 and 5,932.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.52 : 14,364 = 5,932.69 : x
2. Step 2: Convert to fraction form
   10,406.52/14,364 = 5,932.69/x
3. Step 3: Cross multiply
   10,406.52x = 14,364 × 5,932.69
4. Step 4: Simplify right side
   10,406.52x = 85,217,123.25
5. Step 5: Solve for x
   x = 85,217,123.25/10,406.52
6. Step 6: Final answer
   x = 8,188.82