Finding the Fourth Proportional to 9,779.49, 13,495.69 and 5,303.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.49 : 13,495.69 = 5,303.25 : x
2. Step 2: Convert to fraction form
   9,779.49/13,495.69 = 5,303.25/x
3. Step 3: Cross multiply
   9,779.49x = 13,495.69 × 5,303.25
4. Step 4: Simplify right side
   9,779.49x = 71,571,039.54
5. Step 5: Solve for x
   x = 71,571,039.54/9,779.49
6. Step 6: Final answer
   x = 7,318.48