Finding the Fourth Proportional to 10,146.39, 14,002.09 and 5,670.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.39 : 14,002.09 = 5,670.33 : x
2. Step 2: Convert to fraction form
   10,146.39/14,002.09 = 5,670.33/x
3. Step 3: Cross multiply
   10,146.39x = 14,002.09 × 5,670.33
4. Step 4: Simplify right side
   10,146.39x = 79,396,456.81
5. Step 5: Solve for x
   x = 79,396,456.81/10,146.39
6. Step 6: Final answer
   x = 7,825.09