Finding the Fourth Proportional to 2,091, 2,885.67 and 1,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091 : 2,885.67 = 1,159.50 : x
2. Step 2: Convert to fraction form
   2,091/2,885.67 = 1,159.50/x
3. Step 3: Cross multiply
   2,091x = 2,885.67 × 1,159.50
4. Step 4: Simplify right side
   2,091x = 3,345,934.37
5. Step 5: Solve for x
   x = 3,345,934.37/2,091
6. Step 6: Final answer
   x = 1,600.16