Finding the Fourth Proportional to 9,789.56, 14,684.46 and 2,864.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.56 : 14,684.46 = 2,864.20 : x
2. Step 2: Convert to fraction form
   9,789.56/14,684.46 = 2,864.20/x
3. Step 3: Cross multiply
   9,789.56x = 14,684.46 × 2,864.20
4. Step 4: Simplify right side
   9,789.56x = 42,059,230.33
5. Step 5: Solve for x
   x = 42,059,230.33/9,789.56
6. Step 6: Final answer
   x = 4,296.34