Finding the Fourth Proportional to 10,477.23, 14,458.83 and 5,697.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.23 : 14,458.83 = 5,697.46 : x
2. Step 2: Convert to fraction form
   10,477.23/14,458.83 = 5,697.46/x
3. Step 3: Cross multiply
   10,477.23x = 14,458.83 × 5,697.46
4. Step 4: Simplify right side
   10,477.23x = 82,378,605.57
5. Step 5: Solve for x
   x = 82,378,605.57/10,477.23
6. Step 6: Final answer
   x = 7,862.63