Finding the Fourth Proportional to 7,230.25, 9,978.96 and 5,458.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,230.25 : 9,978.96 = 5,458.78 : x
2. Step 2: Convert to fraction form
   7,230.25/9,978.96 = 5,458.78/x
3. Step 3: Cross multiply
   7,230.25x = 9,978.96 × 5,458.78
4. Step 4: Simplify right side
   7,230.25x = 54,472,947.27
5. Step 5: Solve for x
   x = 54,472,947.27/7,230.25
6. Step 6: Final answer
   x = 7,534.03