Finding the Fourth Proportional to 9,952.02, 13,733.50 and 5,414.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,952.02 : 13,733.50 = 5,414.56 : x
2. Step 2: Convert to fraction form
   9,952.02/13,733.50 = 5,414.56/x
3. Step 3: Cross multiply
   9,952.02x = 13,733.50 × 5,414.56
4. Step 4: Simplify right side
   9,952.02x = 74,360,859.76
5. Step 5: Solve for x
   x = 74,360,859.76/9,952.02
6. Step 6: Final answer
   x = 7,471.94