Finding the Fourth Proportional to 2,552.24, 3,826.96 and 1,165.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.24 : 3,826.96 = 1,165.86 : x
2. Step 2: Convert to fraction form
   2,552.24/3,826.96 = 1,165.86/x
3. Step 3: Cross multiply
   2,552.24x = 3,826.96 × 1,165.86
4. Step 4: Simplify right side
   2,552.24x = 4,461,699.59
5. Step 5: Solve for x
   x = 4,461,699.59/2,552.24
6. Step 6: Final answer
   x = 1,748.15