Finding the Fourth Proportional to 10,098.75, 13,935.90 and 5,622.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098.75 : 13,935.90 = 5,622.69 : x
2. Step 2: Convert to fraction form
   10,098.75/13,935.90 = 5,622.69/x
3. Step 3: Cross multiply
   10,098.75x = 13,935.90 × 5,622.69
4. Step 4: Simplify right side
   10,098.75x = 78,357,245.57
5. Step 5: Solve for x
   x = 78,357,245.57/10,098.75
6. Step 6: Final answer
   x = 7,759.10