Finding the Fourth Proportional to 2,564.52, 3,538.80 and 1,516.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.52 : 3,538.80 = 1,516.38 : x
2. Step 2: Convert to fraction form
   2,564.52/3,538.80 = 1,516.38/x
3. Step 3: Cross multiply
   2,564.52x = 3,538.80 × 1,516.38
4. Step 4: Simplify right side
   2,564.52x = 5,366,165.54
5. Step 5: Solve for x
   x = 5,366,165.54/2,564.52
6. Step 6: Final answer
   x = 2,092.46