Finding the Fourth Proportional to 10,090.24, 13,926.40 and 5,896.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.24 : 13,926.40 = 5,896.96 : x
2. Step 2: Convert to fraction form
   10,090.24/13,926.40 = 5,896.96/x
3. Step 3: Cross multiply
   10,090.24x = 13,926.40 × 5,896.96
4. Step 4: Simplify right side
   10,090.24x = 82,123,423.74
5. Step 5: Solve for x
   x = 82,123,423.74/10,090.24
6. Step 6: Final answer
   x = 8,138.90