Finding the Fourth Proportional to 10,354.45, 14,289.31 and 5,638.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.45 : 14,289.31 = 5,638.73 : x
2. Step 2: Convert to fraction form
   10,354.45/14,289.31 = 5,638.73/x
3. Step 3: Cross multiply
   10,354.45x = 14,289.31 × 5,638.73
4. Step 4: Simplify right side
   10,354.45x = 80,573,497.06
5. Step 5: Solve for x
   x = 80,573,497.06/10,354.45
6. Step 6: Final answer
   x = 7,781.53