Finding the Fourth Proportional to 2,515.36, 3,767.58 and 1,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,515.36 : 3,767.58 = 1,538.50 : x
2. Step 2: Convert to fraction form
   2,515.36/3,767.58 = 1,538.50/x
3. Step 3: Cross multiply
   2,515.36x = 3,767.58 × 1,538.50
4. Step 4: Simplify right side
   2,515.36x = 5,796,421.83
5. Step 5: Solve for x
   x = 5,796,421.83/2,515.36
6. Step 6: Final answer
   x = 2,304.41