Finding the Fourth Proportional to 2,538.08, 3,801.89 and 2,325.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.08 : 3,801.89 = 2,325.46 : x
2. Step 2: Convert to fraction form
   2,538.08/3,801.89 = 2,325.46/x
3. Step 3: Cross multiply
   2,538.08x = 3,801.89 × 2,325.46
4. Step 4: Simplify right side
   2,538.08x = 8,841,139.43
5. Step 5: Solve for x
   x = 8,841,139.43/2,538.08
6. Step 6: Final answer
   x = 3,483.39