Finding the Fourth Proportional to 2,077.38, 3,116.06 and 616.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.38 : 3,116.06 = 616.43 : x
2. Step 2: Convert to fraction form
   2,077.38/3,116.06 = 616.43/x
3. Step 3: Cross multiply
   2,077.38x = 3,116.06 × 616.43
4. Step 4: Simplify right side
   2,077.38x = 1,920,814.20
5. Step 5: Solve for x
   x = 1,920,814.20/2,077.38
6. Step 6: Final answer
   x = 924.63