Finding the Fourth Proportional to 10,094, 13,929.50 and 5,617.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094 : 13,929.50 = 5,617.48 : x
2. Step 2: Convert to fraction form
   10,094/13,929.50 = 5,617.48/x
3. Step 3: Cross multiply
   10,094x = 13,929.50 × 5,617.48
4. Step 4: Simplify right side
   10,094x = 78,248,687.66
5. Step 5: Solve for x
   x = 78,248,687.66/10,094
6. Step 6: Final answer
   x = 7,752.00