Finding the Fourth Proportional to 1,403.25, 1,936.53 and 782.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,403.25 : 1,936.53 = 782.25 : x
2. Step 2: Convert to fraction form
   1,403.25/1,936.53 = 782.25/x
3. Step 3: Cross multiply
   1,403.25x = 1,936.53 × 782.25
4. Step 4: Simplify right side
   1,403.25x = 1,514,850.59
5. Step 5: Solve for x
   x = 1,514,850.59/1,403.25
6. Step 6: Final answer
   x = 1,079.53