Finding the Fourth Proportional to 6,141.10, 9,222.18 and 5,864.08

Step by Step Solution

1. Step 1: Write the proportion equation
   6,141.10 : 9,222.18 = 5,864.08 : x
2. Step 2: Convert to fraction form
   6,141.10/9,222.18 = 5,864.08/x
3. Step 3: Cross multiply
   6,141.10x = 9,222.18 × 5,864.08
4. Step 4: Simplify right side
   6,141.10x = 54,079,601.29
5. Step 5: Solve for x
   x = 54,079,601.29/6,141.10
6. Step 6: Final answer
   x = 8,806.18