Finding the Fourth Proportional to 2,775.57, 3,830.22 and 1,516.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,775.57 : 3,830.22 = 1,516.64 : x
2. Step 2: Convert to fraction form
   2,775.57/3,830.22 = 1,516.64/x
3. Step 3: Cross multiply
   2,775.57x = 3,830.22 × 1,516.64
4. Step 4: Simplify right side
   2,775.57x = 5,809,064.86
5. Step 5: Solve for x
   x = 5,809,064.86/2,775.57
6. Step 6: Final answer
   x = 2,092.93