Finding the Fourth Proportional to 10,455.38, 14,428.24 and 5,739.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,455.38 : 14,428.24 = 5,739.63 : x
2. Step 2: Convert to fraction form
   10,455.38/14,428.24 = 5,739.63/x
3. Step 3: Cross multiply
   10,455.38x = 14,428.24 × 5,739.63
4. Step 4: Simplify right side
   10,455.38x = 82,812,722.98
5. Step 5: Solve for x
   x = 82,812,722.98/10,455.38
6. Step 6: Final answer
   x = 7,920.59