Finding the Fourth Proportional to 10,354.23, 14,288.88 and 5,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.23 : 14,288.88 = 5,638.50 : x
2. Step 2: Convert to fraction form
   10,354.23/14,288.88 = 5,638.50/x
3. Step 3: Cross multiply
   10,354.23x = 14,288.88 × 5,638.50
4. Step 4: Simplify right side
   10,354.23x = 80,567,849.88
5. Step 5: Solve for x
   x = 80,567,849.88/10,354.23
6. Step 6: Final answer
   x = 7,781.15