Finding the Fourth Proportional to 2,552.10, 3,826.79 and 1,164.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.10 : 3,826.79 = 1,164.69 : x
2. Step 2: Convert to fraction form
   2,552.10/3,826.79 = 1,164.69/x
3. Step 3: Cross multiply
   2,552.10x = 3,826.79 × 1,164.69
4. Step 4: Simplify right side
   2,552.10x = 4,457,018.22
5. Step 5: Solve for x
   x = 4,457,018.22/2,552.10
6. Step 6: Final answer
   x = 1,746.41