Finding the Fourth Proportional to 10,541.67, 14,546.63 and 5,825.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.67 : 14,546.63 = 5,825.94 : x
2. Step 2: Convert to fraction form
   10,541.67/14,546.63 = 5,825.94/x
3. Step 3: Cross multiply
   10,541.67x = 14,546.63 × 5,825.94
4. Step 4: Simplify right side
   10,541.67x = 84,747,764.45
5. Step 5: Solve for x
   x = 84,747,764.45/10,541.67
6. Step 6: Final answer
   x = 8,039.31