Finding the Fourth Proportional to 10,152.26, 14,009.22 and 5,675.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.26 : 14,009.22 = 5,675.42 : x
2. Step 2: Convert to fraction form
   10,152.26/14,009.22 = 5,675.42/x
3. Step 3: Cross multiply
   10,152.26x = 14,009.22 × 5,675.42
4. Step 4: Simplify right side
   10,152.26x = 79,508,207.37
5. Step 5: Solve for x
   x = 79,508,207.37/10,152.26
6. Step 6: Final answer
   x = 7,831.58