Finding the Fourth Proportional to 10,094.86, 13,930.78 and 5,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.86 : 13,930.78 = 5,618.50 : x
2. Step 2: Convert to fraction form
   10,094.86/13,930.78 = 5,618.50/x
3. Step 3: Cross multiply
   10,094.86x = 13,930.78 × 5,618.50
4. Step 4: Simplify right side
   10,094.86x = 78,270,087.43
5. Step 5: Solve for x
   x = 78,270,087.43/10,094.86
6. Step 6: Final answer
   x = 7,753.46