Finding the Fourth Proportional to 1,282.14, 1,769.39 and 784.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.14 : 1,769.39 = 784.71 : x
2. Step 2: Convert to fraction form
   1,282.14/1,769.39 = 784.71/x
3. Step 3: Cross multiply
   1,282.14x = 1,769.39 × 784.71
4. Step 4: Simplify right side
   1,282.14x = 1,388,454.10
5. Step 5: Solve for x
   x = 1,388,454.10/1,282.14
6. Step 6: Final answer
   x = 1,082.92