Finding the Fourth Proportional to 10,098.61, 13,935.56 and 5,622.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098.61 : 13,935.56 = 5,622.75 : x
2. Step 2: Convert to fraction form
   10,098.61/13,935.56 = 5,622.75/x
3. Step 3: Cross multiply
   10,098.61x = 13,935.56 × 5,622.75
4. Step 4: Simplify right side
   10,098.61x = 78,356,141.88
5. Step 5: Solve for x
   x = 78,356,141.88/10,098.61
6. Step 6: Final answer
   x = 7,759.10