Finding the Fourth Proportional to 2,795.78, 3,858.22 and 1,536.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,795.78 : 3,858.22 = 1,536.80 : x
2. Step 2: Convert to fraction form
   2,795.78/3,858.22 = 1,536.80/x
3. Step 3: Cross multiply
   2,795.78x = 3,858.22 × 1,536.80
4. Step 4: Simplify right side
   2,795.78x = 5,929,312.50
5. Step 5: Solve for x
   x = 5,929,312.50/2,795.78
6. Step 6: Final answer
   x = 2,120.81