Finding the Fourth Proportional to 6,111.86, 9,166.41 and 2,824.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,111.86 : 9,166.41 = 2,824.47 : x
2. Step 2: Convert to fraction form
   6,111.86/9,166.41 = 2,824.47/x
3. Step 3: Cross multiply
   6,111.86x = 9,166.41 × 2,824.47
4. Step 4: Simplify right side
   6,111.86x = 25,890,250.05
5. Step 5: Solve for x
   x = 25,890,250.05/6,111.86
6. Step 6: Final answer
   x = 4,236.07