Finding the Fourth Proportional to 1,019.93, 1,407.53 and 616.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.93 : 1,407.53 = 616.27 : x
2. Step 2: Convert to fraction form
   1,019.93/1,407.53 = 616.27/x
3. Step 3: Cross multiply
   1,019.93x = 1,407.53 × 616.27
4. Step 4: Simplify right side
   1,019.93x = 867,418.51
5. Step 5: Solve for x
   x = 867,418.51/1,019.93
6. Step 6: Final answer
   x = 850.47