Finding the Fourth Proportional to 10,388.25, 14,335.89 and 5,672.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388.25 : 14,335.89 = 5,672.63 : x
2. Step 2: Convert to fraction form
   10,388.25/14,335.89 = 5,672.63/x
3. Step 3: Cross multiply
   10,388.25x = 14,335.89 × 5,672.63
4. Step 4: Simplify right side
   10,388.25x = 81,322,214.26
5. Step 5: Solve for x
   x = 81,322,214.26/10,388.25
6. Step 6: Final answer
   x = 7,828.29