Finding the Fourth Proportional to 3,768.52, 5,200.52 and 2,296.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.52 : 5,200.52 = 2,296.52 : x
2. Step 2: Convert to fraction form
   3,768.52/5,200.52 = 2,296.52/x
3. Step 3: Cross multiply
   3,768.52x = 5,200.52 × 2,296.52
4. Step 4: Simplify right side
   3,768.52x = 11,943,098.19
5. Step 5: Solve for x
   x = 11,943,098.19/3,768.52
6. Step 6: Final answer
   x = 3,169.17