Finding the Fourth Proportional to 2,085.14, 2,877.50 and 1,299.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.14 : 2,877.50 = 1,299.20 : x
2. Step 2: Convert to fraction form
   2,085.14/2,877.50 = 1,299.20/x
3. Step 3: Cross multiply
   2,085.14x = 2,877.50 × 1,299.20
4. Step 4: Simplify right side
   2,085.14x = 3,738,427.12
5. Step 5: Solve for x
   x = 3,738,427.12/2,085.14
6. Step 6: Final answer
   x = 1,792.89