Finding the Fourth Proportional to 10,354.10, 14,288.56 and 5,638.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.10 : 14,288.56 = 5,638.37 : x
2. Step 2: Convert to fraction form
   10,354.10/14,288.56 = 5,638.37/x
3. Step 3: Cross multiply
   10,354.10x = 14,288.56 × 5,638.37
4. Step 4: Simplify right side
   10,354.10x = 80,564,102.51
5. Step 5: Solve for x
   x = 80,564,102.51/10,354.10
6. Step 6: Final answer
   x = 7,780.89