Finding the Fourth Proportional to 10,123.20, 13,964.40 and 5,930.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.20 : 13,964.40 = 5,930.64 : x
2. Step 2: Convert to fraction form
   10,123.20/13,964.40 = 5,930.64/x
3. Step 3: Cross multiply
   10,123.20x = 13,964.40 × 5,930.64
4. Step 4: Simplify right side
   10,123.20x = 82,817,829.22
5. Step 5: Solve for x
   x = 82,817,829.22/10,123.20
6. Step 6: Final answer
   x = 8,180.99