Finding the Fourth Proportional to 10,094.82, 13,929.47 and 5,617.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.82 : 13,929.47 = 5,617.96 : x
2. Step 2: Convert to fraction form
   10,094.82/13,929.47 = 5,617.96/x
3. Step 3: Cross multiply
   10,094.82x = 13,929.47 × 5,617.96
4. Step 4: Simplify right side
   10,094.82x = 78,255,205.28
5. Step 5: Solve for x
   x = 78,255,205.28/10,094.82
6. Step 6: Final answer
   x = 7,752.02