Finding the Fourth Proportional to 9,434.69, 13,019.25 and 5,185.66

Step by Step Solution

1. Step 1: Write the proportion equation
   9,434.69 : 13,019.25 = 5,185.66 : x
2. Step 2: Convert to fraction form
   9,434.69/13,019.25 = 5,185.66/x
3. Step 3: Cross multiply
   9,434.69x = 13,019.25 × 5,185.66
4. Step 4: Simplify right side
   9,434.69x = 67,513,403.96
5. Step 5: Solve for x
   x = 67,513,403.96/9,434.69
6. Step 6: Final answer
   x = 7,155.87