Finding the Fourth Proportional to 1,532.46, 2,114.31 and 942.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,532.46 : 2,114.31 = 942.78 : x
2. Step 2: Convert to fraction form
   1,532.46/2,114.31 = 942.78/x
3. Step 3: Cross multiply
   1,532.46x = 2,114.31 × 942.78
4. Step 4: Simplify right side
   1,532.46x = 1,993,329.18
5. Step 5: Solve for x
   x = 1,993,329.18/1,532.46
6. Step 6: Final answer
   x = 1,300.74