Finding the Fourth Proportional to 10,477.62, 14,459.31 and 5,697.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.62 : 14,459.31 = 5,697.54 : x
2. Step 2: Convert to fraction form
   10,477.62/14,459.31 = 5,697.54/x
3. Step 3: Cross multiply
   10,477.62x = 14,459.31 × 5,697.54
4. Step 4: Simplify right side
   10,477.62x = 82,382,497.10
5. Step 5: Solve for x
   x = 82,382,497.10/10,477.62
6. Step 6: Final answer
   x = 7,862.71