Finding the Fourth Proportional to 1,412.46, 1,949.22 and 782.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.46 : 1,949.22 = 782.96 : x
2. Step 2: Convert to fraction form
   1,412.46/1,949.22 = 782.96/x
3. Step 3: Cross multiply
   1,412.46x = 1,949.22 × 782.96
4. Step 4: Simplify right side
   1,412.46x = 1,526,151.55
5. Step 5: Solve for x
   x = 1,526,151.55/1,412.46
6. Step 6: Final answer
   x = 1,080.49