Finding the Fourth Proportional to 9,789.95, 13,510.09 and 5,540.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.95 : 13,510.09 = 5,540.89 : x
2. Step 2: Convert to fraction form
   9,789.95/13,510.09 = 5,540.89/x
3. Step 3: Cross multiply
   9,789.95x = 13,510.09 × 5,540.89
4. Step 4: Simplify right side
   9,789.95x = 74,857,922.58
5. Step 5: Solve for x
   x = 74,857,922.58/9,789.95
6. Step 6: Final answer
   x = 7,646.41