Finding the Fourth Proportional to 2,564.16, 3,538.56 and 1,516.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.16 : 3,538.56 = 1,516.21 : x
2. Step 2: Convert to fraction form
   2,564.16/3,538.56 = 1,516.21/x
3. Step 3: Cross multiply
   2,564.16x = 3,538.56 × 1,516.21
4. Step 4: Simplify right side
   2,564.16x = 5,365,200.06
5. Step 5: Solve for x
   x = 5,365,200.06/2,564.16
6. Step 6: Final answer
   x = 2,092.38