Finding the Fourth Proportional to 2,085.42, 2,877.84 and 1,153.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.42 : 2,877.84 = 1,153.92 : x
2. Step 2: Convert to fraction form
   2,085.42/2,877.84 = 1,153.92/x
3. Step 3: Cross multiply
   2,085.42x = 2,877.84 × 1,153.92
4. Step 4: Simplify right side
   2,085.42x = 3,320,797.13
5. Step 5: Solve for x
   x = 3,320,797.13/2,085.42
6. Step 6: Final answer
   x = 1,592.39