Finding the Fourth Proportional to 2,745.90, 3,788.78 and 1,567.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.90 : 3,788.78 = 1,567.35 : x
2. Step 2: Convert to fraction form
   2,745.90/3,788.78 = 1,567.35/x
3. Step 3: Cross multiply
   2,745.90x = 3,788.78 × 1,567.35
4. Step 4: Simplify right side
   2,745.90x = 5,938,336.50
5. Step 5: Solve for x
   x = 5,938,336.50/2,745.90
6. Step 6: Final answer
   x = 2,162.62