Finding the Fourth Proportional to 9,782.34, 13,499.59 and 5,306.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.34 : 13,499.59 = 5,306.08 : x
2. Step 2: Convert to fraction form
   9,782.34/13,499.59 = 5,306.08/x
3. Step 3: Cross multiply
   9,782.34x = 13,499.59 × 5,306.08
4. Step 4: Simplify right side
   9,782.34x = 71,629,904.51
5. Step 5: Solve for x
   x = 71,629,904.51/9,782.34
6. Step 6: Final answer
   x = 7,322.37