Finding the Fourth Proportional to 1,411.77, 1,948.18 and 782.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.77 : 1,948.18 = 782.26 : x
2. Step 2: Convert to fraction form
   1,411.77/1,948.18 = 782.26/x
3. Step 3: Cross multiply
   1,411.77x = 1,948.18 × 782.26
4. Step 4: Simplify right side
   1,411.77x = 1,523,983.29
5. Step 5: Solve for x
   x = 1,523,983.29/1,411.77
6. Step 6: Final answer
   x = 1,079.48