Finding the Fourth Proportional to 10,094.16, 13,929.75 and 5,617.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.16 : 13,929.75 = 5,617.83 : x
2. Step 2: Convert to fraction form
   10,094.16/13,929.75 = 5,617.83/x
3. Step 3: Cross multiply
   10,094.16x = 13,929.75 × 5,617.83
4. Step 4: Simplify right side
   10,094.16x = 78,254,967.44
5. Step 5: Solve for x
   x = 78,254,967.44/10,094.16
6. Step 6: Final answer
   x = 7,752.50