Finding the Fourth Proportional to 2,797.22, 3,860.10 and 1,538.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,797.22 : 3,860.10 = 1,538.30 : x
2. Step 2: Convert to fraction form
   2,797.22/3,860.10 = 1,538.30/x
3. Step 3: Cross multiply
   2,797.22x = 3,860.10 × 1,538.30
4. Step 4: Simplify right side
   2,797.22x = 5,937,991.83
5. Step 5: Solve for x
   x = 5,937,991.83/2,797.22
6. Step 6: Final answer
   x = 2,122.82