Finding the Fourth Proportional to 2,514.38, 3,771.30 and 1,538.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.38 : 3,771.30 = 1,538.78 : x
2. Step 2: Convert to fraction form
   2,514.38/3,771.30 = 1,538.78/x
3. Step 3: Cross multiply
   2,514.38x = 3,771.30 × 1,538.78
4. Step 4: Simplify right side
   2,514.38x = 5,803,201.01
5. Step 5: Solve for x
   x = 5,803,201.01/2,514.38
6. Step 6: Final answer
   x = 2,308.00