Finding the Fourth Proportional to 10,361.22, 14,298.42 and 5,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,361.22 : 14,298.42 = 5,645.50 : x
2. Step 2: Convert to fraction form
   10,361.22/14,298.42 = 5,645.50/x
3. Step 3: Cross multiply
   10,361.22x = 14,298.42 × 5,645.50
4. Step 4: Simplify right side
   10,361.22x = 80,721,715.53
5. Step 5: Solve for x
   x = 80,721,715.53/10,361.22
6. Step 6: Final answer
   x = 7,790.76