Finding the Fourth Proportional to 10,098.65, 13,936.10 and 5,622.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098.65 : 13,936.10 = 5,622.45 : x
2. Step 2: Convert to fraction form
   10,098.65/13,936.10 = 5,622.45/x
3. Step 3: Cross multiply
   10,098.65x = 13,936.10 × 5,622.45
4. Step 4: Simplify right side
   10,098.65x = 78,354,997.33
5. Step 5: Solve for x
   x = 78,354,997.33/10,098.65
6. Step 6: Final answer
   x = 7,758.96