Finding the Fourth Proportional to 1,412.32, 1,949.02 and 782.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.32 : 1,949.02 = 782.91 : x
2. Step 2: Convert to fraction form
   1,412.32/1,949.02 = 782.91/x
3. Step 3: Cross multiply
   1,412.32x = 1,949.02 × 782.91
4. Step 4: Simplify right side
   1,412.32x = 1,525,900.78
5. Step 5: Solve for x
   x = 1,525,900.78/1,412.32
6. Step 6: Final answer
   x = 1,080.42