Finding the Fourth Proportional to 1,020.18, 1,528.10 and 846.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.18 : 1,528.10 = 846.42 : x
2. Step 2: Convert to fraction form
   1,020.18/1,528.10 = 846.42/x
3. Step 3: Cross multiply
   1,020.18x = 1,528.10 × 846.42
4. Step 4: Simplify right side
   1,020.18x = 1,293,414.40
5. Step 5: Solve for x
   x = 1,293,414.40/1,020.18
6. Step 6: Final answer
   x = 1,267.83