Finding the Fourth Proportional to 1,403.62, 1,936.89 and 782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,403.62 : 1,936.89 = 782.50 : x
2. Step 2: Convert to fraction form
   1,403.62/1,936.89 = 782.50/x
3. Step 3: Cross multiply
   1,403.62x = 1,936.89 × 782.50
4. Step 4: Simplify right side
   1,403.62x = 1,515,616.43
5. Step 5: Solve for x
   x = 1,515,616.43/1,403.62
6. Step 6: Final answer
   x = 1,079.79