Finding the Fourth Proportional to 9,749.58, 13,454.34 and 5,500.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,749.58 : 13,454.34 = 5,500.61 : x
2. Step 2: Convert to fraction form
   9,749.58/13,454.34 = 5,500.61/x
3. Step 3: Cross multiply
   9,749.58x = 13,454.34 × 5,500.61
4. Step 4: Simplify right side
   9,749.58x = 74,007,062.91
5. Step 5: Solve for x
   x = 74,007,062.91/9,749.58
6. Step 6: Final answer
   x = 7,590.80