Finding the Fourth Proportional to 6,909.50, 9,529.80 and 4,667.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,909.50 : 9,529.80 = 4,667.82 : x
2. Step 2: Convert to fraction form
   6,909.50/9,529.80 = 4,667.82/x
3. Step 3: Cross multiply
   6,909.50x = 9,529.80 × 4,667.82
4. Step 4: Simplify right side
   6,909.50x = 44,483,391.04
5. Step 5: Solve for x
   x = 44,483,391.04/6,909.50
6. Step 6: Final answer
   x = 6,438.01