Finding the Fourth Proportional to 9,477.50, 13,078.67 and 5,498.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,477.50 : 13,078.67 = 5,498.34 : x
2. Step 2: Convert to fraction form
   9,477.50/13,078.67 = 5,498.34/x
3. Step 3: Cross multiply
   9,477.50x = 13,078.67 × 5,498.34
4. Step 4: Simplify right side
   9,477.50x = 71,910,974.41
5. Step 5: Solve for x
   x = 71,910,974.41/9,477.50
6. Step 6: Final answer
   x = 7,587.55