Finding the Fourth Proportional to 10,094.10, 13,929.76 and 5,617.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.10 : 13,929.76 = 5,617.78 : x
2. Step 2: Convert to fraction form
   10,094.10/13,929.76 = 5,617.78/x
3. Step 3: Cross multiply
   10,094.10x = 13,929.76 × 5,617.78
4. Step 4: Simplify right side
   10,094.10x = 78,254,299.04
5. Step 5: Solve for x
   x = 78,254,299.04/10,094.10
6. Step 6: Final answer
   x = 7,752.48