Finding the Fourth Proportional to 9,732.16, 13,430.28 and 5,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,732.16 : 13,430.28 = 5,540.50 : x
2. Step 2: Convert to fraction form
   9,732.16/13,430.28 = 5,540.50/x
3. Step 3: Cross multiply
   9,732.16x = 13,430.28 × 5,540.50
4. Step 4: Simplify right side
   9,732.16x = 74,410,466.34
5. Step 5: Solve for x
   x = 74,410,466.34/9,732.16
6. Step 6: Final answer
   x = 7,645.83