Finding the Fourth Proportional to 10,354.02, 14,288.53 and 5,638.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.02 : 14,288.53 = 5,638.33 : x
2. Step 2: Convert to fraction form
   10,354.02/14,288.53 = 5,638.33/x
3. Step 3: Cross multiply
   10,354.02x = 14,288.53 × 5,638.33
4. Step 4: Simplify right side
   10,354.02x = 80,563,447.35
5. Step 5: Solve for x
   x = 80,563,447.35/10,354.02
6. Step 6: Final answer
   x = 7,780.89