Finding the Fourth Proportional to 2,716.78, 3,749.16 and 1,538.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,716.78 : 3,749.16 = 1,538.23 : x
2. Step 2: Convert to fraction form
   2,716.78/3,749.16 = 1,538.23/x
3. Step 3: Cross multiply
   2,716.78x = 3,749.16 × 1,538.23
4. Step 4: Simplify right side
   2,716.78x = 5,767,070.39
5. Step 5: Solve for x
   x = 5,767,070.39/2,716.78
6. Step 6: Final answer
   x = 2,122.76