Finding the Fourth Proportional to 9,782.19, 13,499.32 and 5,305.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.19 : 13,499.32 = 5,305.83 : x
2. Step 2: Convert to fraction form
   9,782.19/13,499.32 = 5,305.83/x
3. Step 3: Cross multiply
   9,782.19x = 13,499.32 × 5,305.83
4. Step 4: Simplify right side
   9,782.19x = 71,625,097.04
5. Step 5: Solve for x
   x = 71,625,097.04/9,782.19
6. Step 6: Final answer
   x = 7,321.99