Finding the Fourth Proportional to 10,540.98, 14,546.16 and 5,825.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.98 : 14,546.16 = 5,825.34 : x
2. Step 2: Convert to fraction form
   10,540.98/14,546.16 = 5,825.34/x
3. Step 3: Cross multiply
   10,540.98x = 14,546.16 × 5,825.34
4. Step 4: Simplify right side
   10,540.98x = 84,736,327.69
5. Step 5: Solve for x
   x = 84,736,327.69/10,540.98
6. Step 6: Final answer
   x = 8,038.75