Finding the Fourth Proportional to 10,354.21, 14,288.79 and 5,638.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.21 : 14,288.79 = 5,638.48 : x
2. Step 2: Convert to fraction form
   10,354.21/14,288.79 = 5,638.48/x
3. Step 3: Cross multiply
   10,354.21x = 14,288.79 × 5,638.48
4. Step 4: Simplify right side
   10,354.21x = 80,567,056.64
5. Step 5: Solve for x
   x = 80,567,056.64/10,354.21
6. Step 6: Final answer
   x = 7,781.09