Finding the Fourth Proportional to 9,785.29, 14,677.89 and 2,389.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.29 : 14,677.89 = 2,389.79 : x
2. Step 2: Convert to fraction form
   9,785.29/14,677.89 = 2,389.79/x
3. Step 3: Cross multiply
   9,785.29x = 14,677.89 × 2,389.79
4. Step 4: Simplify right side
   9,785.29x = 35,077,047.43
5. Step 5: Solve for x
   x = 35,077,047.43/9,785.29
6. Step 6: Final answer
   x = 3,584.67