Finding the Fourth Proportional to 9,789.55, 13,510.23 and 5,540.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.55 : 13,510.23 = 5,540.60 : x
2. Step 2: Convert to fraction form
   9,789.55/13,510.23 = 5,540.60/x
3. Step 3: Cross multiply
   9,789.55x = 13,510.23 × 5,540.60
4. Step 4: Simplify right side
   9,789.55x = 74,854,780.34
5. Step 5: Solve for x
   x = 74,854,780.34/9,789.55
6. Step 6: Final answer
   x = 7,646.40