Finding the Fourth Proportional to 2,746.32, 3,790.20 and 1,567.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,746.32 : 3,790.20 = 1,567.57 : x
2. Step 2: Convert to fraction form
   2,746.32/3,790.20 = 1,567.57/x
3. Step 3: Cross multiply
   2,746.32x = 3,790.20 × 1,567.57
4. Step 4: Simplify right side
   2,746.32x = 5,941,405.61
5. Step 5: Solve for x
   x = 5,941,405.61/2,746.32
6. Step 6: Final answer
   x = 2,163.40