Finding the Fourth Proportional to 2,758.06, 4,137.34 and 783.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,758.06 : 4,137.34 = 783.71 : x
2. Step 2: Convert to fraction form
   2,758.06/4,137.34 = 783.71/x
3. Step 3: Cross multiply
   2,758.06x = 4,137.34 × 783.71
4. Step 4: Simplify right side
   2,758.06x = 3,242,474.73
5. Step 5: Solve for x
   x = 3,242,474.73/2,758.06
6. Step 6: Final answer
   x = 1,175.64