Finding the Fourth Proportional to 2,465.22, 3,696.42 and 1,166.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.22 : 3,696.42 = 1,166.69 : x
2. Step 2: Convert to fraction form
   2,465.22/3,696.42 = 1,166.69/x
3. Step 3: Cross multiply
   2,465.22x = 3,696.42 × 1,166.69
4. Step 4: Simplify right side
   2,465.22x = 4,312,576.25
5. Step 5: Solve for x
   x = 4,312,576.25/2,465.22
6. Step 6: Final answer
   x = 1,749.37