Finding the Fourth Proportional to 9,478.58, 13,077.06 and 5,497.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,478.58 : 13,077.06 = 5,497.52 : x
2. Step 2: Convert to fraction form
   9,478.58/13,077.06 = 5,497.52/x
3. Step 3: Cross multiply
   9,478.58x = 13,077.06 × 5,497.52
4. Step 4: Simplify right side
   9,478.58x = 71,891,398.89
5. Step 5: Solve for x
   x = 71,891,398.89/9,478.58
6. Step 6: Final answer
   x = 7,584.62