Finding the Fourth Proportional to 10,477.50, 14,458.56 and 5,697.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.50 : 14,458.56 = 5,697.24 : x
2. Step 2: Convert to fraction form
   10,477.50/14,458.56 = 5,697.24/x
3. Step 3: Cross multiply
   10,477.50x = 14,458.56 × 5,697.24
4. Step 4: Simplify right side
   10,477.50x = 82,373,886.37
5. Step 5: Solve for x
   x = 82,373,886.37/10,477.50
6. Step 6: Final answer
   x = 7,861.98