Finding the Fourth Proportional to 10,388.41, 14,336 and 5,672.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388.41 : 14,336 = 5,672.69 : x
2. Step 2: Convert to fraction form
   10,388.41/14,336 = 5,672.69/x
3. Step 3: Cross multiply
   10,388.41x = 14,336 × 5,672.69
4. Step 4: Simplify right side
   10,388.41x = 81,323,683.84
5. Step 5: Solve for x
   x = 81,323,683.84/10,388.41
6. Step 6: Final answer
   x = 7,828.31