Finding the Fourth Proportional to 10,098.89, 13,936.52 and 5,622.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098.89 : 13,936.52 = 5,622.63 : x
2. Step 2: Convert to fraction form
   10,098.89/13,936.52 = 5,622.63/x
3. Step 3: Cross multiply
   10,098.89x = 13,936.52 × 5,622.63
4. Step 4: Simplify right side
   10,098.89x = 78,359,895.45
5. Step 5: Solve for x
   x = 78,359,895.45/10,098.89
6. Step 6: Final answer
   x = 7,759.26