Finding the Fourth Proportional to 9,826.14, 13,559.76 and 5,846.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.14 : 13,559.76 = 5,846.34 : x
2. Step 2: Convert to fraction form
   9,826.14/13,559.76 = 5,846.34/x
3. Step 3: Cross multiply
   9,826.14x = 13,559.76 × 5,846.34
4. Step 4: Simplify right side
   9,826.14x = 79,274,967.28
5. Step 5: Solve for x
   x = 79,274,967.28/9,826.14
6. Step 6: Final answer
   x = 8,067.76