Finding the Fourth Proportional to 1,749, 2,414.62 and 1,160.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,749 : 2,414.62 = 1,160.34 : x
2. Step 2: Convert to fraction form
   1,749/2,414.62 = 1,160.34/x
3. Step 3: Cross multiply
   1,749x = 2,414.62 × 1,160.34
4. Step 4: Simplify right side
   1,749x = 2,801,780.17
5. Step 5: Solve for x
   x = 2,801,780.17/1,749
6. Step 6: Final answer
   x = 1,601.93