Finding the Fourth Proportional to 2,085.40, 2,877.68 and 1,201.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.40 : 2,877.68 = 1,201.02 : x
2. Step 2: Convert to fraction form
   2,085.40/2,877.68 = 1,201.02/x
3. Step 3: Cross multiply
   2,085.40x = 2,877.68 × 1,201.02
4. Step 4: Simplify right side
   2,085.40x = 3,456,151.23
5. Step 5: Solve for x
   x = 3,456,151.23/2,085.40
6. Step 6: Final answer
   x = 1,657.31