Finding the Fourth Proportional to 2,746.16, 3,789.41 and 1,567

Step by Step Solution

1. Step 1: Write the proportion equation
   2,746.16 : 3,789.41 = 1,567 : x
2. Step 2: Convert to fraction form
   2,746.16/3,789.41 = 1,567/x
3. Step 3: Cross multiply
   2,746.16x = 3,789.41 × 1,567
4. Step 4: Simplify right side
   2,746.16x = 5,938,005.47
5. Step 5: Solve for x
   x = 5,938,005.47/2,746.16
6. Step 6: Final answer
   x = 2,162.29