Finding the Fourth Proportional to 2,775.41, 3,830.10 and 1,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,775.41 : 3,830.10 = 1,516.50 : x
2. Step 2: Convert to fraction form
   2,775.41/3,830.10 = 1,516.50/x
3. Step 3: Cross multiply
   2,775.41x = 3,830.10 × 1,516.50
4. Step 4: Simplify right side
   2,775.41x = 5,808,361.01
5. Step 5: Solve for x
   x = 5,808,361.01/2,775.41
6. Step 6: Final answer
   x = 2,092.79