Finding the Fourth Proportional to 2,505.82, 3,758.40 and 750.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.82 : 3,758.40 = 750.82 : x
2. Step 2: Convert to fraction form
   2,505.82/3,758.40 = 750.82/x
3. Step 3: Cross multiply
   2,505.82x = 3,758.40 × 750.82
4. Step 4: Simplify right side
   2,505.82x = 2,821,881.89
5. Step 5: Solve for x
   x = 2,821,881.89/2,505.82
6. Step 6: Final answer
   x = 1,126.13