Finding the Fourth Proportional to 10,541.25, 14,546.73 and 5,825.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.25 : 14,546.73 = 5,825.43 : x
2. Step 2: Convert to fraction form
   10,541.25/14,546.73 = 5,825.43/x
3. Step 3: Cross multiply
   10,541.25x = 14,546.73 × 5,825.43
4. Step 4: Simplify right side
   10,541.25x = 84,740,957.34
5. Step 5: Solve for x
   x = 84,740,957.34/10,541.25
6. Step 6: Final answer
   x = 8,038.99