Finding the Fourth Proportional to 9,789.69, 14,684.94 and 2,864.19

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.69 : 14,684.94 = 2,864.19 : x
2. Step 2: Convert to fraction form
   9,789.69/14,684.94 = 2,864.19/x
3. Step 3: Cross multiply
   9,789.69x = 14,684.94 × 2,864.19
4. Step 4: Simplify right side
   9,789.69x = 42,060,458.30
5. Step 5: Solve for x
   x = 42,060,458.30/9,789.69
6. Step 6: Final answer
   x = 4,296.40