Finding the Fourth Proportional to 2,085.61, 2,877.82 and 1,201.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.61 : 2,877.82 = 1,201.24 : x
2. Step 2: Convert to fraction form
   2,085.61/2,877.82 = 1,201.24/x
3. Step 3: Cross multiply
   2,085.61x = 2,877.82 × 1,201.24
4. Step 4: Simplify right side
   2,085.61x = 3,456,932.10
5. Step 5: Solve for x
   x = 3,456,932.10/2,085.61
6. Step 6: Final answer
   x = 1,657.52