Finding the Fourth Proportional to 9,758.46, 13,464.79 and 5,780.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.46 : 13,464.79 = 5,780.35 : x
2. Step 2: Convert to fraction form
   9,758.46/13,464.79 = 5,780.35/x
3. Step 3: Cross multiply
   9,758.46x = 13,464.79 × 5,780.35
4. Step 4: Simplify right side
   9,758.46x = 77,831,198.88
5. Step 5: Solve for x
   x = 77,831,198.88/9,758.46
6. Step 6: Final answer
   x = 7,975.77