Finding the Fourth Proportional to 7,085.80, 9,778.42 and 4,101.86

Step by Step Solution

1. Step 1: Write the proportion equation
   7,085.80 : 9,778.42 = 4,101.86 : x
2. Step 2: Convert to fraction form
   7,085.80/9,778.42 = 4,101.86/x
3. Step 3: Cross multiply
   7,085.80x = 9,778.42 × 4,101.86
4. Step 4: Simplify right side
   7,085.80x = 40,109,709.86
5. Step 5: Solve for x
   x = 40,109,709.86/7,085.80
6. Step 6: Final answer
   x = 5,660.58