Finding the Fourth Proportional to 9,478.31, 13,078.80 and 5,498.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,478.31 : 13,078.80 = 5,498.84 : x
2. Step 2: Convert to fraction form
   9,478.31/13,078.80 = 5,498.84/x
3. Step 3: Cross multiply
   9,478.31x = 13,078.80 × 5,498.84
4. Step 4: Simplify right side
   9,478.31x = 71,918,261.29
5. Step 5: Solve for x
   x = 71,918,261.29/9,478.31
6. Step 6: Final answer
   x = 7,587.67