Finding the Fourth Proportional to 10,362.38, 14,300.06 and 5,646.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.38 : 14,300.06 = 5,646.66 : x
2. Step 2: Convert to fraction form
   10,362.38/14,300.06 = 5,646.66/x
3. Step 3: Cross multiply
   10,362.38x = 14,300.06 × 5,646.66
4. Step 4: Simplify right side
   10,362.38x = 80,747,576.80
5. Step 5: Solve for x
   x = 80,747,576.80/10,362.38
6. Step 6: Final answer
   x = 7,792.38