Finding the Fourth Proportional to 1,281.50, 1,768.76 and 784.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,281.50 : 1,768.76 = 784.55 : x
2. Step 2: Convert to fraction form
   1,281.50/1,768.76 = 784.55/x
3. Step 3: Cross multiply
   1,281.50x = 1,768.76 × 784.55
4. Step 4: Simplify right side
   1,281.50x = 1,387,667.89
5. Step 5: Solve for x
   x = 1,387,667.89/1,281.50
6. Step 6: Final answer
   x = 1,082.85