Finding the Fourth Proportional to 10,477.21, 14,458.77 and 5,697.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.21 : 14,458.77 = 5,697.40 : x
2. Step 2: Convert to fraction form
   10,477.21/14,458.77 = 5,697.40/x
3. Step 3: Cross multiply
   10,477.21x = 14,458.77 × 5,697.40
4. Step 4: Simplify right side
   10,477.21x = 82,377,396.20
5. Step 5: Solve for x
   x = 82,377,396.20/10,477.21
6. Step 6: Final answer
   x = 7,862.53