Finding the Fourth Proportional to 9,796.63, 14,680.53 and 5,789.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796.63 : 14,680.53 = 5,789.89 : x
2. Step 2: Convert to fraction form
   9,796.63/14,680.53 = 5,789.89/x
3. Step 3: Cross multiply
   9,796.63x = 14,680.53 × 5,789.89
4. Step 4: Simplify right side
   9,796.63x = 84,998,602.15
5. Step 5: Solve for x
   x = 84,998,602.15/9,796.63
6. Step 6: Final answer
   x = 8,676.31