Finding the Fourth Proportional to 10,362.25, 14,299.91 and 5,646.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.25 : 14,299.91 = 5,646.53 : x
2. Step 2: Convert to fraction form
   10,362.25/14,299.91 = 5,646.53/x
3. Step 3: Cross multiply
   10,362.25x = 14,299.91 × 5,646.53
4. Step 4: Simplify right side
   10,362.25x = 80,744,870.81
5. Step 5: Solve for x
   x = 80,744,870.81/10,362.25
6. Step 6: Final answer
   x = 7,792.21