Finding the Fourth Proportional to 2,085.71, 2,878.74 and 1,377.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.71 : 2,878.74 = 1,377.68 : x
2. Step 2: Convert to fraction form
   2,085.71/2,878.74 = 1,377.68/x
3. Step 3: Cross multiply
   2,085.71x = 2,878.74 × 1,377.68
4. Step 4: Simplify right side
   2,085.71x = 3,965,968.13
5. Step 5: Solve for x
   x = 3,965,968.13/2,085.71
6. Step 6: Final answer
   x = 1,901.50