Finding the Fourth Proportional to 2,533.14, 3,796.29 and 1,144.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.14 : 3,796.29 = 1,144.75 : x
2. Step 2: Convert to fraction form
   2,533.14/3,796.29 = 1,144.75/x
3. Step 3: Cross multiply
   2,533.14x = 3,796.29 × 1,144.75
4. Step 4: Simplify right side
   2,533.14x = 4,345,802.98
5. Step 5: Solve for x
   x = 4,345,802.98/2,533.14
6. Step 6: Final answer
   x = 1,715.58