Finding the Fourth Proportional to 9,628.58, 13,286.00 and 5,849.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628.58 : 13,286.00 = 5,849.75 : x
2. Step 2: Convert to fraction form
   9,628.58/13,286.00 = 5,849.75/x
3. Step 3: Cross multiply
   9,628.58x = 13,286.00 × 5,849.75
4. Step 4: Simplify right side
   9,628.58x = 77,719,682.82
5. Step 5: Solve for x
   x = 77,719,682.82/9,628.58
6. Step 6: Final answer
   x = 8,071.77