Finding the Fourth Proportional to 9,789.58, 14,690.56 and 5,118.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.58 : 14,690.56 = 5,118.02 : x
2. Step 2: Convert to fraction form
   9,789.58/14,690.56 = 5,118.02/x
3. Step 3: Cross multiply
   9,789.58x = 14,690.56 × 5,118.02
4. Step 4: Simplify right side
   9,789.58x = 75,186,579.89
5. Step 5: Solve for x
   x = 75,186,579.89/9,789.58
6. Step 6: Final answer
   x = 7,680.27