Finding the Fourth Proportional to 4,097.00, 6,142.86 and 1,758.53

Step by Step Solution

1. Step 1: Write the proportion equation
   4,097.00 : 6,142.86 = 1,758.53 : x
2. Step 2: Convert to fraction form
   4,097.00/6,142.86 = 1,758.53/x
3. Step 3: Cross multiply
   4,097.00x = 6,142.86 × 1,758.53
4. Step 4: Simplify right side
   4,097.00x = 10,802,372.88
5. Step 5: Solve for x
   x = 10,802,372.88/4,097.00
6. Step 6: Final answer
   x = 2,636.66