Finding the Fourth Proportional to 1,412.42, 1,949.16 and 782.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.42 : 1,949.16 = 782.96 : x
2. Step 2: Convert to fraction form
   1,412.42/1,949.16 = 782.96/x
3. Step 3: Cross multiply
   1,412.42x = 1,949.16 × 782.96
4. Step 4: Simplify right side
   1,412.42x = 1,526,114.31
5. Step 5: Solve for x
   x = 1,526,114.31/1,412.42
6. Step 6: Final answer
   x = 1,080.50