Finding the Fourth Proportional to 9,789.75, 14,684.67 and 2,864.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.75 : 14,684.67 = 2,864.25 : x
2. Step 2: Convert to fraction form
   9,789.75/14,684.67 = 2,864.25/x
3. Step 3: Cross multiply
   9,789.75x = 14,684.67 × 2,864.25
4. Step 4: Simplify right side
   9,789.75x = 42,060,566.05
5. Step 5: Solve for x
   x = 42,060,566.05/9,789.75
6. Step 6: Final answer
   x = 4,296.39