Finding the Fourth Proportional to 9,311.16, 12,847.86 and 5,536.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,311.16 : 12,847.86 = 5,536.56 : x
2. Step 2: Convert to fraction form
   9,311.16/12,847.86 = 5,536.56/x
3. Step 3: Cross multiply
   9,311.16x = 12,847.86 × 5,536.56
4. Step 4: Simplify right side
   9,311.16x = 71,132,947.76
5. Step 5: Solve for x
   x = 71,132,947.76/9,311.16
6. Step 6: Final answer
   x = 7,639.54