Finding the Fourth Proportional to 10,238.96, 14,128.62 and 5,764.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.96 : 14,128.62 = 5,764.25 : x
2. Step 2: Convert to fraction form
   10,238.96/14,128.62 = 5,764.25/x
3. Step 3: Cross multiply
   10,238.96x = 14,128.62 × 5,764.25
4. Step 4: Simplify right side
   10,238.96x = 81,440,897.84
5. Step 5: Solve for x
   x = 81,440,897.84/10,238.96
6. Step 6: Final answer
   x = 7,954.02