Finding the Fourth Proportional to 2,538.22, 3,809.16 and 1,565

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.22 : 3,809.16 = 1,565 : x
2. Step 2: Convert to fraction form
   2,538.22/3,809.16 = 1,565/x
3. Step 3: Cross multiply
   2,538.22x = 3,809.16 × 1,565
4. Step 4: Simplify right side
   2,538.22x = 5,961,335.40
5. Step 5: Solve for x
   x = 5,961,335.40/2,538.22
6. Step 6: Final answer
   x = 2,348.63