Finding the Fourth Proportional to 10,301.07, 14,214.59 and 5,825.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.07 : 14,214.59 = 5,825.01 : x
2. Step 2: Convert to fraction form
   10,301.07/14,214.59 = 5,825.01/x
3. Step 3: Cross multiply
   10,301.07x = 14,214.59 × 5,825.01
4. Step 4: Simplify right side
   10,301.07x = 82,800,174.92
5. Step 5: Solve for x
   x = 82,800,174.92/10,301.07
6. Step 6: Final answer
   x = 8,038.01