Finding the Fourth Proportional to 2,085.72, 2,877.66 and 1,201

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.72 : 2,877.66 = 1,201 : x
2. Step 2: Convert to fraction form
   2,085.72/2,877.66 = 1,201/x
3. Step 3: Cross multiply
   2,085.72x = 2,877.66 × 1,201
4. Step 4: Simplify right side
   2,085.72x = 3,456,069.66
5. Step 5: Solve for x
   x = 3,456,069.66/2,085.72
6. Step 6: Final answer
   x = 1,657.02