Finding the Fourth Proportional to 2,085.68, 2,877.96 and 1,154.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.68 : 2,877.96 = 1,154.24 : x
2. Step 2: Convert to fraction form
   2,085.68/2,877.96 = 1,154.24/x
3. Step 3: Cross multiply
   2,085.68x = 2,877.96 × 1,154.24
4. Step 4: Simplify right side
   2,085.68x = 3,321,856.55
5. Step 5: Solve for x
   x = 3,321,856.55/2,085.68
6. Step 6: Final answer
   x = 1,592.70