Finding the Fourth Proportional to 10,132.56, 13,982.22 and 5,940

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132.56 : 13,982.22 = 5,940 : x
2. Step 2: Convert to fraction form
   10,132.56/13,982.22 = 5,940/x
3. Step 3: Cross multiply
   10,132.56x = 13,982.22 × 5,940
4. Step 4: Simplify right side
   10,132.56x = 83,054,386.80
5. Step 5: Solve for x
   x = 83,054,386.80/10,132.56
6. Step 6: Final answer
   x = 8,196.78