Finding the Fourth Proportional to 1,412.63, 1,949.25 and 783.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.63 : 1,949.25 = 783.15 : x
2. Step 2: Convert to fraction form
   1,412.63/1,949.25 = 783.15/x
3. Step 3: Cross multiply
   1,412.63x = 1,949.25 × 783.15
4. Step 4: Simplify right side
   1,412.63x = 1,526,563.92
5. Step 5: Solve for x
   x = 1,526,563.92/1,412.63
6. Step 6: Final answer
   x = 1,080.65