Finding the Fourth Proportional to 10,361.09, 14,298.32 and 5,645.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,361.09 : 14,298.32 = 5,645.38 : x
2. Step 2: Convert to fraction form
   10,361.09/14,298.32 = 5,645.38/x
3. Step 3: Cross multiply
   10,361.09x = 14,298.32 × 5,645.38
4. Step 4: Simplify right side
   10,361.09x = 80,719,385.79
5. Step 5: Solve for x
   x = 80,719,385.79/10,361.09
6. Step 6: Final answer
   x = 7,790.62