Finding the Fourth Proportional to 9,789.90, 13,510.32 and 5,540.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.90 : 13,510.32 = 5,540.10 : x
2. Step 2: Convert to fraction form
   9,789.90/13,510.32 = 5,540.10/x
3. Step 3: Cross multiply
   9,789.90x = 13,510.32 × 5,540.10
4. Step 4: Simplify right side
   9,789.90x = 74,848,523.83
5. Step 5: Solve for x
   x = 74,848,523.83/9,789.90
6. Step 6: Final answer
   x = 7,645.48