Finding the Fourth Proportional to 5,685.30, 7,843.41 and 4,109.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,685.30 : 7,843.41 = 4,109.94 : x
2. Step 2: Convert to fraction form
   5,685.30/7,843.41 = 4,109.94/x
3. Step 3: Cross multiply
   5,685.30x = 7,843.41 × 4,109.94
4. Step 4: Simplify right side
   5,685.30x = 32,235,944.50
5. Step 5: Solve for x
   x = 32,235,944.50/5,685.30
6. Step 6: Final answer
   x = 5,670.05