Finding the Fourth Proportional to 9,782.13, 13,499.34 and 5,305.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.13 : 13,499.34 = 5,305.86 : x
2. Step 2: Convert to fraction form
   9,782.13/13,499.34 = 5,305.86/x
3. Step 3: Cross multiply
   9,782.13x = 13,499.34 × 5,305.86
4. Step 4: Simplify right side
   9,782.13x = 71,625,608.13
5. Step 5: Solve for x
   x = 71,625,608.13/9,782.13
6. Step 6: Final answer
   x = 7,322.09