Finding the Fourth Proportional to 10,094.22, 13,929.62 and 5,617.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.22 : 13,929.62 = 5,617.85 : x
2. Step 2: Convert to fraction form
   10,094.22/13,929.62 = 5,617.85/x
3. Step 3: Cross multiply
   10,094.22x = 13,929.62 × 5,617.85
4. Step 4: Simplify right side
   10,094.22x = 78,254,417.98
5. Step 5: Solve for x
   x = 78,254,417.98/10,094.22
6. Step 6: Final answer
   x = 7,752.40