Finding the Fourth Proportional to 2,085.32, 2,877.82 and 1,201.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.32 : 2,877.82 = 1,201.20 : x
2. Step 2: Convert to fraction form
   2,085.32/2,877.82 = 1,201.20/x
3. Step 3: Cross multiply
   2,085.32x = 2,877.82 × 1,201.20
4. Step 4: Simplify right side
   2,085.32x = 3,456,837.38
5. Step 5: Solve for x
   x = 3,456,837.38/2,085.32
6. Step 6: Final answer
   x = 1,657.70