Finding the Fourth Proportional to 1,371.69, 1,892.83 and 782.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.69 : 1,892.83 = 782.11 : x
2. Step 2: Convert to fraction form
   1,371.69/1,892.83 = 782.11/x
3. Step 3: Cross multiply
   1,371.69x = 1,892.83 × 782.11
4. Step 4: Simplify right side
   1,371.69x = 1,480,401.27
5. Step 5: Solve for x
   x = 1,480,401.27/1,371.69
6. Step 6: Final answer
   x = 1,079.25