Finding the Fourth Proportional to 10,105.56, 13,943.34 and 5,913

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.56 : 13,943.34 = 5,913 : x
2. Step 2: Convert to fraction form
   10,105.56/13,943.34 = 5,913/x
3. Step 3: Cross multiply
   10,105.56x = 13,943.34 × 5,913
4. Step 4: Simplify right side
   10,105.56x = 82,446,969.42
5. Step 5: Solve for x
   x = 82,446,969.42/10,105.56
6. Step 6: Final answer
   x = 8,158.58