Finding the Fourth Proportional to 1,020.15, 1,407.81 and 600.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.15 : 1,407.81 = 600.52 : x
2. Step 2: Convert to fraction form
   1,020.15/1,407.81 = 600.52/x
3. Step 3: Cross multiply
   1,020.15x = 1,407.81 × 600.52
4. Step 4: Simplify right side
   1,020.15x = 845,411.02
5. Step 5: Solve for x
   x = 845,411.02/1,020.15
6. Step 6: Final answer
   x = 828.71