Finding the Fourth Proportional to 9,767.85, 13,479.35 and 5,734.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.85 : 13,479.35 = 5,734.61 : x
2. Step 2: Convert to fraction form
   9,767.85/13,479.35 = 5,734.61/x
3. Step 3: Cross multiply
   9,767.85x = 13,479.35 × 5,734.61
4. Step 4: Simplify right side
   9,767.85x = 77,298,815.30
5. Step 5: Solve for x
   x = 77,298,815.30/9,767.85
6. Step 6: Final answer
   x = 7,913.60