Finding the Fourth Proportional to 9,826.02, 13,559.94 and 5,349.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.02 : 13,559.94 = 5,349.78 : x
2. Step 2: Convert to fraction form
   9,826.02/13,559.94 = 5,349.78/x
3. Step 3: Cross multiply
   9,826.02x = 13,559.94 × 5,349.78
4. Step 4: Simplify right side
   9,826.02x = 72,542,695.81
5. Step 5: Solve for x
   x = 72,542,695.81/9,826.02
6. Step 6: Final answer
   x = 7,382.71