Finding the Fourth Proportional to 6,973.98, 9,624.27 and 3,830.17

Step by Step Solution

1. Step 1: Write the proportion equation
   6,973.98 : 9,624.27 = 3,830.17 : x
2. Step 2: Convert to fraction form
   6,973.98/9,624.27 = 3,830.17/x
3. Step 3: Cross multiply
   6,973.98x = 9,624.27 × 3,830.17
4. Step 4: Simplify right side
   6,973.98x = 36,862,571.08
5. Step 5: Solve for x
   x = 36,862,571.08/6,973.98
6. Step 6: Final answer
   x = 5,285.73