Finding the Fourth Proportional to 10,362.08, 14,299.83 and 5,646.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.08 : 14,299.83 = 5,646.35 : x
2. Step 2: Convert to fraction form
   10,362.08/14,299.83 = 5,646.35/x
3. Step 3: Cross multiply
   10,362.08x = 14,299.83 × 5,646.35
4. Step 4: Simplify right side
   10,362.08x = 80,741,880.87
5. Step 5: Solve for x
   x = 80,741,880.87/10,362.08
6. Step 6: Final answer
   x = 7,792.05