Finding the Fourth Proportional to 2,564.14, 3,538.57 and 1,516.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.14 : 3,538.57 = 1,516.22 : x
2. Step 2: Convert to fraction form
   2,564.14/3,538.57 = 1,516.22/x
3. Step 3: Cross multiply
   2,564.14x = 3,538.57 × 1,516.22
4. Step 4: Simplify right side
   2,564.14x = 5,365,250.61
5. Step 5: Solve for x
   x = 5,365,250.61/2,564.14
6. Step 6: Final answer
   x = 2,092.42