Finding the Fourth Proportional to 9,191.61, 12,684.03 and 5,414.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,191.61 : 12,684.03 = 5,414.93 : x
2. Step 2: Convert to fraction form
   9,191.61/12,684.03 = 5,414.93/x
3. Step 3: Cross multiply
   9,191.61x = 12,684.03 × 5,414.93
4. Step 4: Simplify right side
   9,191.61x = 68,683,134.57
5. Step 5: Solve for x
   x = 68,683,134.57/9,191.61
6. Step 6: Final answer
   x = 7,472.37