Finding the Fourth Proportional to 9,733.06, 13,430.10 and 5,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,733.06 : 13,430.10 = 5,540.50 : x
2. Step 2: Convert to fraction form
   9,733.06/13,430.10 = 5,540.50/x
3. Step 3: Cross multiply
   9,733.06x = 13,430.10 × 5,540.50
4. Step 4: Simplify right side
   9,733.06x = 74,409,469.05
5. Step 5: Solve for x
   x = 74,409,469.05/9,733.06
6. Step 6: Final answer
   x = 7,645.02