Finding the Fourth Proportional to 3,768.62, 5,200.82 and 2,276.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.62 : 5,200.82 = 2,276.24 : x
2. Step 2: Convert to fraction form
   3,768.62/5,200.82 = 2,276.24/x
3. Step 3: Cross multiply
   3,768.62x = 5,200.82 × 2,276.24
4. Step 4: Simplify right side
   3,768.62x = 11,838,314.52
5. Step 5: Solve for x
   x = 11,838,314.52/3,768.62
6. Step 6: Final answer
   x = 3,141.29