Finding the Fourth Proportional to 2,085.06, 2,877.45 and 1,200.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.06 : 2,877.45 = 1,200.69 : x
2. Step 2: Convert to fraction form
   2,085.06/2,877.45 = 1,200.69/x
3. Step 3: Cross multiply
   2,085.06x = 2,877.45 × 1,200.69
4. Step 4: Simplify right side
   2,085.06x = 3,454,925.44
5. Step 5: Solve for x
   x = 3,454,925.44/2,085.06
6. Step 6: Final answer
   x = 1,656.99