Finding the Fourth Proportional to 2,091.10, 2,885.71 and 1,159.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091.10 : 2,885.71 = 1,159.60 : x
2. Step 2: Convert to fraction form
   2,091.10/2,885.71 = 1,159.60/x
3. Step 3: Cross multiply
   2,091.10x = 2,885.71 × 1,159.60
4. Step 4: Simplify right side
   2,091.10x = 3,346,269.32
5. Step 5: Solve for x
   x = 3,346,269.32/2,091.10
6. Step 6: Final answer
   x = 1,600.24