Finding the Fourth Proportional to 1,371.83, 1,893.17 and 782.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.83 : 1,893.17 = 782.33 : x
2. Step 2: Convert to fraction form
   1,371.83/1,893.17 = 782.33/x
3. Step 3: Cross multiply
   1,371.83x = 1,893.17 × 782.33
4. Step 4: Simplify right side
   1,371.83x = 1,481,080.34
5. Step 5: Solve for x
   x = 1,481,080.34/1,371.83
6. Step 6: Final answer
   x = 1,079.64