Finding the Fourth Proportional to 2,091.15, 2,885.78 and 1,159.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091.15 : 2,885.78 = 1,159.65 : x
2. Step 2: Convert to fraction form
   2,091.15/2,885.78 = 1,159.65/x
3. Step 3: Cross multiply
   2,091.15x = 2,885.78 × 1,159.65
4. Step 4: Simplify right side
   2,091.15x = 3,346,488.98
5. Step 5: Solve for x
   x = 3,346,488.98/2,091.15
6. Step 6: Final answer
   x = 1,600.31