Finding the Fourth Proportional to 2,091.56, 2,886.24 and 1,160

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091.56 : 2,886.24 = 1,160 : x
2. Step 2: Convert to fraction form
   2,091.56/2,886.24 = 1,160/x
3. Step 3: Cross multiply
   2,091.56x = 2,886.24 × 1,160
4. Step 4: Simplify right side
   2,091.56x = 3,348,038.40
5. Step 5: Solve for x
   x = 3,348,038.40/2,091.56
6. Step 6: Final answer
   x = 1,600.74