Finding the Fourth Proportional to 9,258.50, 12,778.17 and 5,534.66

Step by Step Solution

1. Step 1: Write the proportion equation
   9,258.50 : 12,778.17 = 5,534.66 : x
2. Step 2: Convert to fraction form
   9,258.50/12,778.17 = 5,534.66/x
3. Step 3: Cross multiply
   9,258.50x = 12,778.17 × 5,534.66
4. Step 4: Simplify right side
   9,258.50x = 70,722,826.37
5. Step 5: Solve for x
   x = 70,722,826.37/9,258.50
6. Step 6: Final answer
   x = 7,638.69