Finding the Fourth Proportional to 9,782.08, 13,496.82 and 5,803

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.08 : 13,496.82 = 5,803 : x
2. Step 2: Convert to fraction form
   9,782.08/13,496.82 = 5,803/x
3. Step 3: Cross multiply
   9,782.08x = 13,496.82 × 5,803
4. Step 4: Simplify right side
   9,782.08x = 78,322,046.46
5. Step 5: Solve for x
   x = 78,322,046.46/9,782.08
6. Step 6: Final answer
   x = 8,006.69