Finding the Fourth Proportional to 9,730, 13,429.80 and 5,540.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,730 : 13,429.80 = 5,540.72 : x
2. Step 2: Convert to fraction form
   9,730/13,429.80 = 5,540.72/x
3. Step 3: Cross multiply
   9,730x = 13,429.80 × 5,540.72
4. Step 4: Simplify right side
   9,730x = 74,410,761.46
5. Step 5: Solve for x
   x = 74,410,761.46/9,730
6. Step 6: Final answer
   x = 7,647.56