Finding the Fourth Proportional to 10,362.48, 14,300.21 and 5,646.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.48 : 14,300.21 = 5,646.76 : x
2. Step 2: Convert to fraction form
   10,362.48/14,300.21 = 5,646.76/x
3. Step 3: Cross multiply
   10,362.48x = 14,300.21 × 5,646.76
4. Step 4: Simplify right side
   10,362.48x = 80,749,782.32
5. Step 5: Solve for x
   x = 80,749,782.32/10,362.48
6. Step 6: Final answer
   x = 7,792.52