Finding the Fourth Proportional to 1,411.69, 1,948.13 and 782.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.69 : 1,948.13 = 782.22 : x
2. Step 2: Convert to fraction form
   1,411.69/1,948.13 = 782.22/x
3. Step 3: Cross multiply
   1,411.69x = 1,948.13 × 782.22
4. Step 4: Simplify right side
   1,411.69x = 1,523,855.03
5. Step 5: Solve for x
   x = 1,523,855.03/1,411.69
6. Step 6: Final answer
   x = 1,079.46