Finding the Fourth Proportional to 10,098.56, 13,936.25 and 5,622.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098.56 : 13,936.25 = 5,622.62 : x
2. Step 2: Convert to fraction form
   10,098.56/13,936.25 = 5,622.62/x
3. Step 3: Cross multiply
   10,098.56x = 13,936.25 × 5,622.62
4. Step 4: Simplify right side
   10,098.56x = 78,358,182.35
5. Step 5: Solve for x
   x = 78,358,182.35/10,098.56
6. Step 6: Final answer
   x = 7,759.34