Finding the Fourth Proportional to 1,412.36, 1,949.05 and 782.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.36 : 1,949.05 = 782.89 : x
2. Step 2: Convert to fraction form
   1,412.36/1,949.05 = 782.89/x
3. Step 3: Cross multiply
   1,412.36x = 1,949.05 × 782.89
4. Step 4: Simplify right side
   1,412.36x = 1,525,888.84
5. Step 5: Solve for x
   x = 1,525,888.84/1,412.36
6. Step 6: Final answer
   x = 1,080.38