Finding the Fourth Proportional to 10,098.81, 13,936.59 and 5,622.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098.81 : 13,936.59 = 5,622.57 : x
2. Step 2: Convert to fraction form
   10,098.81/13,936.59 = 5,622.57/x
3. Step 3: Cross multiply
   10,098.81x = 13,936.59 × 5,622.57
4. Step 4: Simplify right side
   10,098.81x = 78,359,452.84
5. Step 5: Solve for x
   x = 78,359,452.84/10,098.81
6. Step 6: Final answer
   x = 7,759.28