Finding the Fourth Proportional to 6,286.42, 8,665.32 and 5,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,286.42 : 8,665.32 = 5,023.50 : x
2. Step 2: Convert to fraction form
   6,286.42/8,665.32 = 5,023.50/x
3. Step 3: Cross multiply
   6,286.42x = 8,665.32 × 5,023.50
4. Step 4: Simplify right side
   6,286.42x = 43,530,235.02
5. Step 5: Solve for x
   x = 43,530,235.02/6,286.42
6. Step 6: Final answer
   x = 6,924.49