Finding the Fourth Proportional to 10,354.72, 14,289.60 and 5,638.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.72 : 14,289.60 = 5,638.99 : x
2. Step 2: Convert to fraction form
   10,354.72/14,289.60 = 5,638.99/x
3. Step 3: Cross multiply
   10,354.72x = 14,289.60 × 5,638.99
4. Step 4: Simplify right side
   10,354.72x = 80,578,911.50
5. Step 5: Solve for x
   x = 80,578,911.50/10,354.72
6. Step 6: Final answer
   x = 7,781.85