Finding the Fourth Proportional to 10,406.40, 14,358.06 and 5,930.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.40 : 14,358.06 = 5,930.05 : x
2. Step 2: Convert to fraction form
   10,406.40/14,358.06 = 5,930.05/x
3. Step 3: Cross multiply
   10,406.40x = 14,358.06 × 5,930.05
4. Step 4: Simplify right side
   10,406.40x = 85,144,013.70
5. Step 5: Solve for x
   x = 85,144,013.70/10,406.40
6. Step 6: Final answer
   x = 8,181.89