Finding the Fourth Proportional to 9,574.52, 13,214.02 and 5,382.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,574.52 : 13,214.02 = 5,382.77 : x
2. Step 2: Convert to fraction form
   9,574.52/13,214.02 = 5,382.77/x
3. Step 3: Cross multiply
   9,574.52x = 13,214.02 × 5,382.77
4. Step 4: Simplify right side
   9,574.52x = 71,127,950.91
5. Step 5: Solve for x
   x = 71,127,950.91/9,574.52
6. Step 6: Final answer
   x = 7,428.88