Finding the Fourth Proportional to 10,438.21, 14,404.77 and 5,658.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438.21 : 14,404.77 = 5,658.16 : x
2. Step 2: Convert to fraction form
   10,438.21/14,404.77 = 5,658.16/x
3. Step 3: Cross multiply
   10,438.21x = 14,404.77 × 5,658.16
4. Step 4: Simplify right side
   10,438.21x = 81,504,493.42
5. Step 5: Solve for x
   x = 81,504,493.42/10,438.21
6. Step 6: Final answer
   x = 7,808.28