Finding the Fourth Proportional to 10,354.50, 14,289.30 and 5,638.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.50 : 14,289.30 = 5,638.86 : x
2. Step 2: Convert to fraction form
   10,354.50/14,289.30 = 5,638.86/x
3. Step 3: Cross multiply
   10,354.50x = 14,289.30 × 5,638.86
4. Step 4: Simplify right side
   10,354.50x = 80,575,362.20
5. Step 5: Solve for x
   x = 80,575,362.20/10,354.50
6. Step 6: Final answer
   x = 7,781.68