Finding the Fourth Proportional to 9,311.78, 12,850.50 and 5,536.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,311.78 : 12,850.50 = 5,536.98 : x
2. Step 2: Convert to fraction form
   9,311.78/12,850.50 = 5,536.98/x
3. Step 3: Cross multiply
   9,311.78x = 12,850.50 × 5,536.98
4. Step 4: Simplify right side
   9,311.78x = 71,153,022.29
5. Step 5: Solve for x
   x = 71,153,022.29/9,311.78
6. Step 6: Final answer
   x = 7,641.18