Finding the Fourth Proportional to 10,098.51, 13,934.27 and 5,622.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098.51 : 13,934.27 = 5,622.15 : x
2. Step 2: Convert to fraction form
   10,098.51/13,934.27 = 5,622.15/x
3. Step 3: Cross multiply
   10,098.51x = 13,934.27 × 5,622.15
4. Step 4: Simplify right side
   10,098.51x = 78,340,486.41
5. Step 5: Solve for x
   x = 78,340,486.41/10,098.51
6. Step 6: Final answer
   x = 7,757.63