Finding the Fourth Proportional to 2,465.02, 3,695.71 and 1,164.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.02 : 3,695.71 = 1,164.97 : x
2. Step 2: Convert to fraction form
   2,465.02/3,695.71 = 1,164.97/x
3. Step 3: Cross multiply
   2,465.02x = 3,695.71 × 1,164.97
4. Step 4: Simplify right side
   2,465.02x = 4,305,385.45
5. Step 5: Solve for x
   x = 4,305,385.45/2,465.02
6. Step 6: Final answer
   x = 1,746.59