Finding the Fourth Proportional to 10,477.45, 14,458.66 and 5,697.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.45 : 14,458.66 = 5,697.49 : x
2. Step 2: Convert to fraction form
   10,477.45/14,458.66 = 5,697.49/x
3. Step 3: Cross multiply
   10,477.45x = 14,458.66 × 5,697.49
4. Step 4: Simplify right side
   10,477.45x = 82,378,070.76
5. Step 5: Solve for x
   x = 82,378,070.76/10,477.45
6. Step 6: Final answer
   x = 7,862.42