Finding the Fourth Proportional to 9,382.24, 12,946.52 and 5,402.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,382.24 : 12,946.52 = 5,402.56 : x
2. Step 2: Convert to fraction form
   9,382.24/12,946.52 = 5,402.56/x
3. Step 3: Cross multiply
   9,382.24x = 12,946.52 × 5,402.56
4. Step 4: Simplify right side
   9,382.24x = 69,944,351.09
5. Step 5: Solve for x
   x = 69,944,351.09/9,382.24
6. Step 6: Final answer
   x = 7,454.97