Finding the Fourth Proportional to 2,085.20, 2,877.48 and 1,153.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.20 : 2,877.48 = 1,153.76 : x
2. Step 2: Convert to fraction form
   2,085.20/2,877.48 = 1,153.76/x
3. Step 3: Cross multiply
   2,085.20x = 2,877.48 × 1,153.76
4. Step 4: Simplify right side
   2,085.20x = 3,319,921.32
5. Step 5: Solve for x
   x = 3,319,921.32/2,085.20
6. Step 6: Final answer
   x = 1,592.14