Finding the Fourth Proportional to 9,806.00, 13,534.24 and 5,826.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,806.00 : 13,534.24 = 5,826.34 : x
2. Step 2: Convert to fraction form
   9,806.00/13,534.24 = 5,826.34/x
3. Step 3: Cross multiply
   9,806.00x = 13,534.24 × 5,826.34
4. Step 4: Simplify right side
   9,806.00x = 78,855,108.08
5. Step 5: Solve for x
   x = 78,855,108.08/9,806.00
6. Step 6: Final answer
   x = 8,041.52