Finding the Fourth Proportional to 9,191.14, 12,681.56 and 5,414.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,191.14 : 12,681.56 = 5,414.01 : x
2. Step 2: Convert to fraction form
   9,191.14/12,681.56 = 5,414.01/x
3. Step 3: Cross multiply
   9,191.14x = 12,681.56 × 5,414.01
4. Step 4: Simplify right side
   9,191.14x = 68,658,092.66
5. Step 5: Solve for x
   x = 68,658,092.66/9,191.14
6. Step 6: Final answer
   x = 7,470.03