Finding the Fourth Proportional to 2,085.69, 2,877.75 and 1,299.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.69 : 2,877.75 = 1,299.18 : x
2. Step 2: Convert to fraction form
   2,085.69/2,877.75 = 1,299.18/x
3. Step 3: Cross multiply
   2,085.69x = 2,877.75 × 1,299.18
4. Step 4: Simplify right side
   2,085.69x = 3,738,715.25
5. Step 5: Solve for x
   x = 3,738,715.25/2,085.69
6. Step 6: Final answer
   x = 1,792.56