Finding the Fourth Proportional to 2,465.40, 3,697.56 and 1,166.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.40 : 3,697.56 = 1,166.16 : x
2. Step 2: Convert to fraction form
   2,465.40/3,697.56 = 1,166.16/x
3. Step 3: Cross multiply
   2,465.40x = 3,697.56 × 1,166.16
4. Step 4: Simplify right side
   2,465.40x = 4,311,946.57
5. Step 5: Solve for x
   x = 4,311,946.57/2,465.40
6. Step 6: Final answer
   x = 1,748.98