Finding the Fourth Proportional to 10,094.56, 13,930.35 and 5,618.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.56 : 13,930.35 = 5,618.31 : x
2. Step 2: Convert to fraction form
   10,094.56/13,930.35 = 5,618.31/x
3. Step 3: Cross multiply
   10,094.56x = 13,930.35 × 5,618.31
4. Step 4: Simplify right side
   10,094.56x = 78,265,077.16
5. Step 5: Solve for x
   x = 78,265,077.16/10,094.56
6. Step 6: Final answer
   x = 7,753.19