Finding the Fourth Proportional to 1,412.70, 1,949.50 and 783.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.70 : 1,949.50 = 783.30 : x
2. Step 2: Convert to fraction form
   1,412.70/1,949.50 = 783.30/x
3. Step 3: Cross multiply
   1,412.70x = 1,949.50 × 783.30
4. Step 4: Simplify right side
   1,412.70x = 1,527,043.35
5. Step 5: Solve for x
   x = 1,527,043.35/1,412.70
6. Step 6: Final answer
   x = 1,080.94