Finding the Fourth Proportional to 9,749.64, 13,454.63 and 5,500.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,749.64 : 13,454.63 = 5,500.69 : x
2. Step 2: Convert to fraction form
   9,749.64/13,454.63 = 5,500.69/x
3. Step 3: Cross multiply
   9,749.64x = 13,454.63 × 5,500.69
4. Step 4: Simplify right side
   9,749.64x = 74,009,681.42
5. Step 5: Solve for x
   x = 74,009,681.42/9,749.64
6. Step 6: Final answer
   x = 7,591.02