Finding the Fourth Proportional to 1,412.24, 1,948.91 and 782.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.24 : 1,948.91 = 782.78 : x
2. Step 2: Convert to fraction form
   1,412.24/1,948.91 = 782.78/x
3. Step 3: Cross multiply
   1,412.24x = 1,948.91 × 782.78
4. Step 4: Simplify right side
   1,412.24x = 1,525,567.77
5. Step 5: Solve for x
   x = 1,525,567.77/1,412.24
6. Step 6: Final answer
   x = 1,080.25