Finding the Fourth Proportional to 10,354.19, 14,288.31 and 5,638.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.19 : 14,288.31 = 5,638.46 : x
2. Step 2: Convert to fraction form
   10,354.19/14,288.31 = 5,638.46/x
3. Step 3: Cross multiply
   10,354.19x = 14,288.31 × 5,638.46
4. Step 4: Simplify right side
   10,354.19x = 80,563,992.96
5. Step 5: Solve for x
   x = 80,563,992.96/10,354.19
6. Step 6: Final answer
   x = 7,780.81