Finding the Fourth Proportional to 9,789.61, 13,510.32 and 5,540.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.61 : 13,510.32 = 5,540.67 : x
2. Step 2: Convert to fraction form
   9,789.61/13,510.32 = 5,540.67/x
3. Step 3: Cross multiply
   9,789.61x = 13,510.32 × 5,540.67
4. Step 4: Simplify right side
   9,789.61x = 74,856,224.71
5. Step 5: Solve for x
   x = 74,856,224.71/9,789.61
6. Step 6: Final answer
   x = 7,646.50