Finding the Fourth Proportional to 10,354.02, 14,288.57 and 5,638.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.02 : 14,288.57 = 5,638.20 : x
2. Step 2: Convert to fraction form
   10,354.02/14,288.57 = 5,638.20/x
3. Step 3: Cross multiply
   10,354.02x = 14,288.57 × 5,638.20
4. Step 4: Simplify right side
   10,354.02x = 80,561,815.37
5. Step 5: Solve for x
   x = 80,561,815.37/10,354.02
6. Step 6: Final answer
   x = 7,780.73