Finding the Fourth Proportional to 3,768.69, 5,200.95 and 2,276.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.69 : 5,200.95 = 2,276.32 : x
2. Step 2: Convert to fraction form
   3,768.69/5,200.95 = 2,276.32/x
3. Step 3: Cross multiply
   3,768.69x = 5,200.95 × 2,276.32
4. Step 4: Simplify right side
   3,768.69x = 11,839,026.50
5. Step 5: Solve for x
   x = 11,839,026.50/3,768.69
6. Step 6: Final answer
   x = 3,141.42