Finding the Fourth Proportional to 10,354.01, 14,288.70 and 5,638.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.01 : 14,288.70 = 5,638.29 : x
2. Step 2: Convert to fraction form
   10,354.01/14,288.70 = 5,638.29/x
3. Step 3: Cross multiply
   10,354.01x = 14,288.70 × 5,638.29
4. Step 4: Simplify right side
   10,354.01x = 80,563,834.32
5. Step 5: Solve for x
   x = 80,563,834.32/10,354.01
6. Step 6: Final answer
   x = 7,780.93