Finding the Fourth Proportional to 10,099.21, 13,936.64 and 5,622.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.21 : 13,936.64 = 5,622.96 : x
2. Step 2: Convert to fraction form
   10,099.21/13,936.64 = 5,622.96/x
3. Step 3: Cross multiply
   10,099.21x = 13,936.64 × 5,622.96
4. Step 4: Simplify right side
   10,099.21x = 78,365,141.14
5. Step 5: Solve for x
   x = 78,365,141.14/10,099.21
6. Step 6: Final answer
   x = 7,759.53