Finding the Fourth Proportional to 1,403.50, 1,936.83 and 782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,403.50 : 1,936.83 = 782.50 : x
2. Step 2: Convert to fraction form
   1,403.50/1,936.83 = 782.50/x
3. Step 3: Cross multiply
   1,403.50x = 1,936.83 × 782.50
4. Step 4: Simplify right side
   1,403.50x = 1,515,569.48
5. Step 5: Solve for x
   x = 1,515,569.48/1,403.50
6. Step 6: Final answer
   x = 1,079.85