Finding the Fourth Proportional to 1,565.77, 2,146.75 and 1,538.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.77 : 2,146.75 = 1,538.23 : x
2. Step 2: Convert to fraction form
   1,565.77/2,146.75 = 1,538.23/x
3. Step 3: Cross multiply
   1,565.77x = 2,146.75 × 1,538.23
4. Step 4: Simplify right side
   1,565.77x = 3,302,195.25
5. Step 5: Solve for x
   x = 3,302,195.25/1,565.77
6. Step 6: Final answer
   x = 2,108.99