Finding the Fourth Proportional to 9,758.88, 13,467.46 and 5,778.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.88 : 13,467.46 = 5,778.54 : x
2. Step 2: Convert to fraction form
   9,758.88/13,467.46 = 5,778.54/x
3. Step 3: Cross multiply
   9,758.88x = 13,467.46 × 5,778.54
4. Step 4: Simplify right side
   9,758.88x = 77,822,256.31
5. Step 5: Solve for x
   x = 77,822,256.31/9,758.88
6. Step 6: Final answer
   x = 7,974.51