Finding the Fourth Proportional to 9,764.63, 13,474.33 and 5,785.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,764.63 : 13,474.33 = 5,785.07 : x
2. Step 2: Convert to fraction form
   9,764.63/13,474.33 = 5,785.07/x
3. Step 3: Cross multiply
   9,764.63x = 13,474.33 × 5,785.07
4. Step 4: Simplify right side
   9,764.63x = 77,949,942.25
5. Step 5: Solve for x
   x = 77,949,942.25/9,764.63
6. Step 6: Final answer
   x = 7,982.89