Finding the Fourth Proportional to 9,211.41, 12,711.42 and 5,434.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,211.41 : 12,711.42 = 5,434.74 : x
2. Step 2: Convert to fraction form
   9,211.41/12,711.42 = 5,434.74/x
3. Step 3: Cross multiply
   9,211.41x = 12,711.42 × 5,434.74
4. Step 4: Simplify right side
   9,211.41x = 69,083,262.73
5. Step 5: Solve for x
   x = 69,083,262.73/9,211.41
6. Step 6: Final answer
   x = 7,499.75