Finding the Fourth Proportional to 2,150.98, 2,969.34 and 1,565.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,150.98 : 2,969.34 = 1,565.96 : x
2. Step 2: Convert to fraction form
   2,150.98/2,969.34 = 1,565.96/x
3. Step 3: Cross multiply
   2,150.98x = 2,969.34 × 1,565.96
4. Step 4: Simplify right side
   2,150.98x = 4,649,867.67
5. Step 5: Solve for x
   x = 4,649,867.67/2,150.98
6. Step 6: Final answer
   x = 2,161.74