Finding the Fourth Proportional to 2,311.47, 3,188.82 and 1,565.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,311.47 : 3,188.82 = 1,565.16 : x
2. Step 2: Convert to fraction form
   2,311.47/3,188.82 = 1,565.16/x
3. Step 3: Cross multiply
   2,311.47x = 3,188.82 × 1,565.16
4. Step 4: Simplify right side
   2,311.47x = 4,991,013.51
5. Step 5: Solve for x
   x = 4,991,013.51/2,311.47
6. Step 6: Final answer
   x = 2,159.24