Finding the Fourth Proportional to 9,826.16, 13,558.00 and 5,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.16 : 13,558.00 = 5,846.50 : x
2. Step 2: Convert to fraction form
   9,826.16/13,558.00 = 5,846.50/x
3. Step 3: Cross multiply
   9,826.16x = 13,558.00 × 5,846.50
4. Step 4: Simplify right side
   9,826.16x = 79,266,798.49
5. Step 5: Solve for x
   x = 79,266,798.49/9,826.16
6. Step 6: Final answer
   x = 8,066.91