Finding the Fourth Proportional to 9,767.88, 13,484.34 and 5,575.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.88 : 13,484.34 = 5,575.32 : x
2. Step 2: Convert to fraction form
   9,767.88/13,484.34 = 5,575.32/x
3. Step 3: Cross multiply
   9,767.88x = 13,484.34 × 5,575.32
4. Step 4: Simplify right side
   9,767.88x = 75,179,510.49
5. Step 5: Solve for x
   x = 75,179,510.49/9,767.88
6. Step 6: Final answer
   x = 7,696.60