Finding the Fourth Proportional to 9,323.20, 13,984.83 and 3,776.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,323.20 : 13,984.83 = 3,776.65 : x
2. Step 2: Convert to fraction form
   9,323.20/13,984.83 = 3,776.65/x
3. Step 3: Cross multiply
   9,323.20x = 13,984.83 × 3,776.65
4. Step 4: Simplify right side
   9,323.20x = 52,815,787.42
5. Step 5: Solve for x
   x = 52,815,787.42/9,323.20
6. Step 6: Final answer
   x = 5,664.99