Finding the Fourth Proportional to 10,025.00, 13,838.14 and 5,833.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025.00 : 13,838.14 = 5,833.25 : x
2. Step 2: Convert to fraction form
   10,025.00/13,838.14 = 5,833.25/x
3. Step 3: Cross multiply
   10,025.00x = 13,838.14 × 5,833.25
4. Step 4: Simplify right side
   10,025.00x = 80,721,246.38
5. Step 5: Solve for x
   x = 80,721,246.38/10,025.00
6. Step 6: Final answer
   x = 8,052.00