Finding the Fourth Proportional to 1,414.07, 1,949.62 and 1,010.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.07 : 1,949.62 = 1,010.78 : x
2. Step 2: Convert to fraction form
   1,414.07/1,949.62 = 1,010.78/x
3. Step 3: Cross multiply
   1,414.07x = 1,949.62 × 1,010.78
4. Step 4: Simplify right side
   1,414.07x = 1,970,636.90
5. Step 5: Solve for x
   x = 1,970,636.90/1,414.07
6. Step 6: Final answer
   x = 1,393.59