Finding the Fourth Proportional to 2,552.76, 3,829.86 and 909.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.76 : 3,829.86 = 909.72 : x
2. Step 2: Convert to fraction form
   2,552.76/3,829.86 = 909.72/x
3. Step 3: Cross multiply
   2,552.76x = 3,829.86 × 909.72
4. Step 4: Simplify right side
   2,552.76x = 3,484,100.24
5. Step 5: Solve for x
   x = 3,484,100.24/2,552.76
6. Step 6: Final answer
   x = 1,364.84