Finding the Fourth Proportional to 10,094.50, 13,930.19 and 5,617.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.50 : 13,930.19 = 5,617.98 : x
2. Step 2: Convert to fraction form
   10,094.50/13,930.19 = 5,617.98/x
3. Step 3: Cross multiply
   10,094.50x = 13,930.19 × 5,617.98
4. Step 4: Simplify right side
   10,094.50x = 78,259,521.79
5. Step 5: Solve for x
   x = 78,259,521.79/10,094.50
6. Step 6: Final answer
   x = 7,752.69