Finding the Fourth Proportional to 1,412.71, 1,949.61 and 783.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.71 : 1,949.61 = 783.30 : x
2. Step 2: Convert to fraction form
   1,412.71/1,949.61 = 783.30/x
3. Step 3: Cross multiply
   1,412.71x = 1,949.61 × 783.30
4. Step 4: Simplify right side
   1,412.71x = 1,527,139.76
5. Step 5: Solve for x
   x = 1,527,139.76/1,412.71
6. Step 6: Final answer
   x = 1,081.00