Finding the Fourth Proportional to 2,085.19, 2,877.57 and 1,200.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.19 : 2,877.57 = 1,200.98 : x
2. Step 2: Convert to fraction form
   2,085.19/2,877.57 = 1,200.98/x
3. Step 3: Cross multiply
   2,085.19x = 2,877.57 × 1,200.98
4. Step 4: Simplify right side
   2,085.19x = 3,455,911.21
5. Step 5: Solve for x
   x = 3,455,911.21/2,085.19
6. Step 6: Final answer
   x = 1,657.36