Finding the Fourth Proportional to 1,371.88, 1,892.82 and 782.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.88 : 1,892.82 = 782.20 : x
2. Step 2: Convert to fraction form
   1,371.88/1,892.82 = 782.20/x
3. Step 3: Cross multiply
   1,371.88x = 1,892.82 × 782.20
4. Step 4: Simplify right side
   1,371.88x = 1,480,563.80
5. Step 5: Solve for x
   x = 1,480,563.80/1,371.88
6. Step 6: Final answer
   x = 1,079.22