Finding the Fourth Proportional to 6,354.65, 8,747.98 and 5,465.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,354.65 : 8,747.98 = 5,465.27 : x
2. Step 2: Convert to fraction form
   6,354.65/8,747.98 = 5,465.27/x
3. Step 3: Cross multiply
   6,354.65x = 8,747.98 × 5,465.27
4. Step 4: Simplify right side
   6,354.65x = 47,810,015.25
5. Step 5: Solve for x
   x = 47,810,015.25/6,354.65
6. Step 6: Final answer
   x = 7,523.63