Finding the Fourth Proportional to 1,846.69, 2,767.65 and 749.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,846.69 : 2,767.65 = 749.78 : x
2. Step 2: Convert to fraction form
   1,846.69/2,767.65 = 749.78/x
3. Step 3: Cross multiply
   1,846.69x = 2,767.65 × 749.78
4. Step 4: Simplify right side
   1,846.69x = 2,075,132.72
5. Step 5: Solve for x
   x = 2,075,132.72/1,846.69
6. Step 6: Final answer
   x = 1,123.70