Finding the Fourth Proportional to 2,464.63, 3,697.38 and 1,166.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.63 : 3,697.38 = 1,166.06 : x
2. Step 2: Convert to fraction form
   2,464.63/3,697.38 = 1,166.06/x
3. Step 3: Cross multiply
   2,464.63x = 3,697.38 × 1,166.06
4. Step 4: Simplify right side
   2,464.63x = 4,311,376.17
5. Step 5: Solve for x
   x = 4,311,376.17/2,464.63
6. Step 6: Final answer
   x = 1,749.30