Finding the Fourth Proportional to 10,093.62, 13,929.30 and 5,617.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,093.62 : 13,929.30 = 5,617.74 : x
2. Step 2: Convert to fraction form
   10,093.62/13,929.30 = 5,617.74/x
3. Step 3: Cross multiply
   10,093.62x = 13,929.30 × 5,617.74
4. Step 4: Simplify right side
   10,093.62x = 78,251,185.78
5. Step 5: Solve for x
   x = 78,251,185.78/10,093.62
6. Step 6: Final answer
   x = 7,752.54