Finding the Fourth Proportional to 10,223.64, 14,108.63 and 5,747.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223.64 : 14,108.63 = 5,747.40 : x
2. Step 2: Convert to fraction form
   10,223.64/14,108.63 = 5,747.40/x
3. Step 3: Cross multiply
   10,223.64x = 14,108.63 × 5,747.40
4. Step 4: Simplify right side
   10,223.64x = 81,087,911.33
5. Step 5: Solve for x
   x = 81,087,911.33/10,223.64
6. Step 6: Final answer
   x = 7,931.41