Finding the Fourth Proportional to 9,749.94, 13,451.57 and 5,500.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,749.94 : 13,451.57 = 5,500.47 : x
2. Step 2: Convert to fraction form
   9,749.94/13,451.57 = 5,500.47/x
3. Step 3: Cross multiply
   9,749.94x = 13,451.57 × 5,500.47
4. Step 4: Simplify right side
   9,749.94x = 73,990,000.81
5. Step 5: Solve for x
   x = 73,990,000.81/9,749.94
6. Step 6: Final answer
   x = 7,588.77