Finding the Fourth Proportional to 10,354.14, 14,288.32 and 5,638.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.14 : 14,288.32 = 5,638.32 : x
2. Step 2: Convert to fraction form
   10,354.14/14,288.32 = 5,638.32/x
3. Step 3: Cross multiply
   10,354.14x = 14,288.32 × 5,638.32
4. Step 4: Simplify right side
   10,354.14x = 80,562,120.42
5. Step 5: Solve for x
   x = 80,562,120.42/10,354.14
6. Step 6: Final answer
   x = 7,780.67