Finding the Fourth Proportional to 1,012.38, 1,397.06 and 614.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.38 : 1,397.06 = 614.09 : x
2. Step 2: Convert to fraction form
   1,012.38/1,397.06 = 614.09/x
3. Step 3: Cross multiply
   1,012.38x = 1,397.06 × 614.09
4. Step 4: Simplify right side
   1,012.38x = 857,921.57
5. Step 5: Solve for x
   x = 857,921.57/1,012.38
6. Step 6: Final answer
   x = 847.43