Finding the Fourth Proportional to 9,434.81, 13,016.72 and 5,659.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,434.81 : 13,016.72 = 5,659.20 : x
2. Step 2: Convert to fraction form
   9,434.81/13,016.72 = 5,659.20/x
3. Step 3: Cross multiply
   9,434.81x = 13,016.72 × 5,659.20
4. Step 4: Simplify right side
   9,434.81x = 73,664,235.97
5. Step 5: Solve for x
   x = 73,664,235.97/9,434.81
6. Step 6: Final answer
   x = 7,807.71