Finding the Fourth Proportional to 1,363.74, 1,881.99 and 766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,363.74 : 1,881.99 = 766.25 : x
2. Step 2: Convert to fraction form
   1,363.74/1,881.99 = 766.25/x
3. Step 3: Cross multiply
   1,363.74x = 1,881.99 × 766.25
4. Step 4: Simplify right side
   1,363.74x = 1,442,067.95
5. Step 5: Solve for x
   x = 1,442,067.95/1,363.74
6. Step 6: Final answer
   x = 1,057.43