Finding the Fourth Proportional to 1,371.62, 1,892.80 and 782.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.62 : 1,892.80 = 782.12 : x
2. Step 2: Convert to fraction form
   1,371.62/1,892.80 = 782.12/x
3. Step 3: Cross multiply
   1,371.62x = 1,892.80 × 782.12
4. Step 4: Simplify right side
   1,371.62x = 1,480,396.74
5. Step 5: Solve for x
   x = 1,480,396.74/1,371.62
6. Step 6: Final answer
   x = 1,079.31