Finding the Fourth Proportional to 2,513.26, 3,767.61 and 1,537.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.26 : 3,767.61 = 1,537.31 : x
2. Step 2: Convert to fraction form
   2,513.26/3,767.61 = 1,537.31/x
3. Step 3: Cross multiply
   2,513.26x = 3,767.61 × 1,537.31
4. Step 4: Simplify right side
   2,513.26x = 5,791,999.71
5. Step 5: Solve for x
   x = 5,791,999.71/2,513.26
6. Step 6: Final answer
   x = 2,304.58