Finding the Fourth Proportional to 1,412.74, 1,949.54 and 783.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.74 : 1,949.54 = 783.25 : x
2. Step 2: Convert to fraction form
   1,412.74/1,949.54 = 783.25/x
3. Step 3: Cross multiply
   1,412.74x = 1,949.54 × 783.25
4. Step 4: Simplify right side
   1,412.74x = 1,526,984.04
5. Step 5: Solve for x
   x = 1,526,984.04/1,412.74
6. Step 6: Final answer
   x = 1,080.87