Finding the Fourth Proportional to 10,388.92, 14,337 and 5,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388.92 : 14,337 = 5,673.50 : x
2. Step 2: Convert to fraction form
   10,388.92/14,337 = 5,673.50/x
3. Step 3: Cross multiply
   10,388.92x = 14,337 × 5,673.50
4. Step 4: Simplify right side
   10,388.92x = 81,341,005.34
5. Step 5: Solve for x
   x = 81,341,005.34/10,388.92
6. Step 6: Final answer
   x = 7,829.59