Finding the Fourth Proportional to 10,223.66, 14,104.65 and 5,746.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223.66 : 14,104.65 = 5,746.38 : x
2. Step 2: Convert to fraction form
   10,223.66/14,104.65 = 5,746.38/x
3. Step 3: Cross multiply
   10,223.66x = 14,104.65 × 5,746.38
4. Step 4: Simplify right side
   10,223.66x = 81,050,713.93
5. Step 5: Solve for x
   x = 81,050,713.93/10,223.66
6. Step 6: Final answer
   x = 7,927.76