Finding the Fourth Proportional to 1,371.49, 1,892.69 and 782.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.49 : 1,892.69 = 782.01 : x
2. Step 2: Convert to fraction form
   1,371.49/1,892.69 = 782.01/x
3. Step 3: Cross multiply
   1,371.49x = 1,892.69 × 782.01
4. Step 4: Simplify right side
   1,371.49x = 1,480,102.51
5. Step 5: Solve for x
   x = 1,480,102.51/1,371.49
6. Step 6: Final answer
   x = 1,079.19