Finding the Fourth Proportional to 10,353.88, 14,288.61 and 5,638.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.88 : 14,288.61 = 5,638.42 : x
2. Step 2: Convert to fraction form
   10,353.88/14,288.61 = 5,638.42/x
3. Step 3: Cross multiply
   10,353.88x = 14,288.61 × 5,638.42
4. Step 4: Simplify right side
   10,353.88x = 80,565,184.40
5. Step 5: Solve for x
   x = 80,565,184.40/10,353.88
6. Step 6: Final answer
   x = 7,781.16