Finding the Fourth Proportional to 1,407.85, 2,112.37 and 757.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.85 : 2,112.37 = 757.82 : x
2. Step 2: Convert to fraction form
   1,407.85/2,112.37 = 757.82/x
3. Step 3: Cross multiply
   1,407.85x = 2,112.37 × 757.82
4. Step 4: Simplify right side
   1,407.85x = 1,600,799.62
5. Step 5: Solve for x
   x = 1,600,799.62/1,407.85
6. Step 6: Final answer
   x = 1,137.05