Finding the Fourth Proportional to 1,057.50, 1,460.03 and 946.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.50 : 1,460.03 = 946.78 : x
2. Step 2: Convert to fraction form
   1,057.50/1,460.03 = 946.78/x
3. Step 3: Cross multiply
   1,057.50x = 1,460.03 × 946.78
4. Step 4: Simplify right side
   1,057.50x = 1,382,318.82
5. Step 5: Solve for x
   x = 1,382,318.82/1,057.50
6. Step 6: Final answer
   x = 1,307.16