Finding the Fourth Proportional to 3,838.25, 5,746.34 and 2,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838.25 : 5,746.34 = 2,367.50 : x
2. Step 2: Convert to fraction form
   3,838.25/5,746.34 = 2,367.50/x
3. Step 3: Cross multiply
   3,838.25x = 5,746.34 × 2,367.50
4. Step 4: Simplify right side
   3,838.25x = 13,604,419.38
5. Step 5: Solve for x
   x = 13,604,419.38/3,838.25
6. Step 6: Final answer
   x = 3,544.44