Finding the Fourth Proportional to 9,191.61, 12,683.40 and 5,414.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,191.61 : 12,683.40 = 5,414.54 : x
2. Step 2: Convert to fraction form
   9,191.61/12,683.40 = 5,414.54/x
3. Step 3: Cross multiply
   9,191.61x = 12,683.40 × 5,414.54
4. Step 4: Simplify right side
   9,191.61x = 68,674,692.91
5. Step 5: Solve for x
   x = 68,674,692.91/9,191.61
6. Step 6: Final answer
   x = 7,471.45