Finding the Fourth Proportional to 9,782.29, 13,499.35 and 5,305.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.29 : 13,499.35 = 5,305.87 : x
2. Step 2: Convert to fraction form
   9,782.29/13,499.35 = 5,305.87/x
3. Step 3: Cross multiply
   9,782.29x = 13,499.35 × 5,305.87
4. Step 4: Simplify right side
   9,782.29x = 71,625,796.18
5. Step 5: Solve for x
   x = 71,625,796.18/9,782.29
6. Step 6: Final answer
   x = 7,321.99