Finding the Fourth Proportional to 3,763.82, 5,193.77 and 2,085.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,763.82 : 5,193.77 = 2,085.20 : x
2. Step 2: Convert to fraction form
   3,763.82/5,193.77 = 2,085.20/x
3. Step 3: Cross multiply
   3,763.82x = 5,193.77 × 2,085.20
4. Step 4: Simplify right side
   3,763.82x = 10,830,012.81
5. Step 5: Solve for x
   x = 10,830,012.81/3,763.82
6. Step 6: Final answer
   x = 2,877.40