Finding the Fourth Proportional to 9,674.65, 13,349.83 and 5,695.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,674.65 : 13,349.83 = 5,695.00 : x
2. Step 2: Convert to fraction form
   9,674.65/13,349.83 = 5,695.00/x
3. Step 3: Cross multiply
   9,674.65x = 13,349.83 × 5,695.00
4. Step 4: Simplify right side
   9,674.65x = 76,027,238.16
5. Step 5: Solve for x
   x = 76,027,238.16/9,674.65
6. Step 6: Final answer
   x = 7,858.39