Finding the Fourth Proportional to 9,142.68, 12,617.16 and 5,164.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.68 : 12,617.16 = 5,164.39 : x
2. Step 2: Convert to fraction form
   9,142.68/12,617.16 = 5,164.39/x
3. Step 3: Cross multiply
   9,142.68x = 12,617.16 × 5,164.39
4. Step 4: Simplify right side
   9,142.68x = 65,159,931.34
5. Step 5: Solve for x
   x = 65,159,931.34/9,142.68
6. Step 6: Final answer
   x = 7,127.00