Finding the Fourth Proportional to 2,552.09, 3,828.50 and 1,165.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.09 : 3,828.50 = 1,165.77 : x
2. Step 2: Convert to fraction form
   2,552.09/3,828.50 = 1,165.77/x
3. Step 3: Cross multiply
   2,552.09x = 3,828.50 × 1,165.77
4. Step 4: Simplify right side
   2,552.09x = 4,463,144.62
5. Step 5: Solve for x
   x = 4,463,144.62/2,552.09
6. Step 6: Final answer
   x = 1,748.82