Finding the Fourth Proportional to 9,826.12, 13,559.97 and 5,349.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.12 : 13,559.97 = 5,349.86 : x
2. Step 2: Convert to fraction form
   9,826.12/13,559.97 = 5,349.86/x
3. Step 3: Cross multiply
   9,826.12x = 13,559.97 × 5,349.86
4. Step 4: Simplify right side
   9,826.12x = 72,543,941.10
5. Step 5: Solve for x
   x = 72,543,941.10/9,826.12
6. Step 6: Final answer
   x = 7,382.77