Finding the Fourth Proportional to 9,142.50, 12,617.19 and 5,164.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.50 : 12,617.19 = 5,164.05 : x
2. Step 2: Convert to fraction form
   9,142.50/12,617.19 = 5,164.05/x
3. Step 3: Cross multiply
   9,142.50x = 12,617.19 × 5,164.05
4. Step 4: Simplify right side
   9,142.50x = 65,155,800.02
5. Step 5: Solve for x
   x = 65,155,800.02/9,142.50
6. Step 6: Final answer
   x = 7,126.69