Finding the Fourth Proportional to 2,126.42, 3,185.96 and 1,153.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,126.42 : 3,185.96 = 1,153.20 : x
2. Step 2: Convert to fraction form
   2,126.42/3,185.96 = 1,153.20/x
3. Step 3: Cross multiply
   2,126.42x = 3,185.96 × 1,153.20
4. Step 4: Simplify right side
   2,126.42x = 3,674,049.07
5. Step 5: Solve for x
   x = 3,674,049.07/2,126.42
6. Step 6: Final answer
   x = 1,727.81