Finding the Fourth Proportional to 2,085.30, 2,877.69 and 1,201.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.30 : 2,877.69 = 1,201.14 : x
2. Step 2: Convert to fraction form
   2,085.30/2,877.69 = 1,201.14/x
3. Step 3: Cross multiply
   2,085.30x = 2,877.69 × 1,201.14
4. Step 4: Simplify right side
   2,085.30x = 3,456,508.57
5. Step 5: Solve for x
   x = 3,456,508.57/2,085.30
6. Step 6: Final answer
   x = 1,657.56