Finding the Fourth Proportional to 2,563.74, 3,537.50 and 1,516.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.74 : 3,537.50 = 1,516.05 : x
2. Step 2: Convert to fraction form
   2,563.74/3,537.50 = 1,516.05/x
3. Step 3: Cross multiply
   2,563.74x = 3,537.50 × 1,516.05
4. Step 4: Simplify right side
   2,563.74x = 5,363,019.29
5. Step 5: Solve for x
   x = 5,363,019.29/2,563.74
6. Step 6: Final answer
   x = 2,091.87