Finding the Fourth Proportional to 2,653.13, 3,661.10 and 1,458.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.13 : 3,661.10 = 1,458.06 : x
2. Step 2: Convert to fraction form
   2,653.13/3,661.10 = 1,458.06/x
3. Step 3: Cross multiply
   2,653.13x = 3,661.10 × 1,458.06
4. Step 4: Simplify right side
   2,653.13x = 5,338,096.12
5. Step 5: Solve for x
   x = 5,338,096.12/2,653.13
6. Step 6: Final answer
   x = 2,012.00