Finding the Fourth Proportional to 9,782.92, 13,500.66 and 5,533.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.92 : 13,500.66 = 5,533.12 : x
2. Step 2: Convert to fraction form
   9,782.92/13,500.66 = 5,533.12/x
3. Step 3: Cross multiply
   9,782.92x = 13,500.66 × 5,533.12
4. Step 4: Simplify right side
   9,782.92x = 74,700,771.86
5. Step 5: Solve for x
   x = 74,700,771.86/9,782.92
6. Step 6: Final answer
   x = 7,635.84