Finding the Fourth Proportional to 2,564, 3,536.72 and 1,516.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564 : 3,536.72 = 1,516.40 : x
2. Step 2: Convert to fraction form
   2,564/3,536.72 = 1,516.40/x
3. Step 3: Cross multiply
   2,564x = 3,536.72 × 1,516.40
4. Step 4: Simplify right side
   2,564x = 5,363,082.21
5. Step 5: Solve for x
   x = 5,363,082.21/2,564
6. Step 6: Final answer
   x = 2,091.69