Finding the Fourth Proportional to 2,091.50, 2,886.37 and 1,160

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091.50 : 2,886.37 = 1,160 : x
2. Step 2: Convert to fraction form
   2,091.50/2,886.37 = 1,160/x
3. Step 3: Cross multiply
   2,091.50x = 2,886.37 × 1,160
4. Step 4: Simplify right side
   2,091.50x = 3,348,189.20
5. Step 5: Solve for x
   x = 3,348,189.20/2,091.50
6. Step 6: Final answer
   x = 1,600.86