Finding the Fourth Proportional to 10,404, 14,357.46 and 5,688.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404 : 14,357.46 = 5,688.30 : x
2. Step 2: Convert to fraction form
   10,404/14,357.46 = 5,688.30/x
3. Step 3: Cross multiply
   10,404x = 14,357.46 × 5,688.30
4. Step 4: Simplify right side
   10,404x = 81,669,539.72
5. Step 5: Solve for x
   x = 81,669,539.72/10,404
6. Step 6: Final answer
   x = 7,849.82