Finding the Fourth Proportional to 1,113.57, 1,536.71 and 616.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,113.57 : 1,536.71 = 616.20 : x
2. Step 2: Convert to fraction form
   1,113.57/1,536.71 = 616.20/x
3. Step 3: Cross multiply
   1,113.57x = 1,536.71 × 616.20
4. Step 4: Simplify right side
   1,113.57x = 946,917.62
5. Step 5: Solve for x
   x = 946,917.62/1,113.57
6. Step 6: Final answer
   x = 850.34