Finding the Fourth Proportional to 2,091.42, 2,886.21 and 1,159.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091.42 : 2,886.21 = 1,159.86 : x
2. Step 2: Convert to fraction form
   2,091.42/2,886.21 = 1,159.86/x
3. Step 3: Cross multiply
   2,091.42x = 2,886.21 × 1,159.86
4. Step 4: Simplify right side
   2,091.42x = 3,347,599.53
5. Step 5: Solve for x
   x = 3,347,599.53/2,091.42
6. Step 6: Final answer
   x = 1,600.63