Finding the Fourth Proportional to 2,758.56, 4,138.05 and 784.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,758.56 : 4,138.05 = 784.17 : x
2. Step 2: Convert to fraction form
   2,758.56/4,138.05 = 784.17/x
3. Step 3: Cross multiply
   2,758.56x = 4,138.05 × 784.17
4. Step 4: Simplify right side
   2,758.56x = 3,244,934.67
5. Step 5: Solve for x
   x = 3,244,934.67/2,758.56
6. Step 6: Final answer
   x = 1,176.31