Finding the Fourth Proportional to 1,165.59, 1,748.59 and 343.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.59 : 1,748.59 = 343.91 : x
2. Step 2: Convert to fraction form
   1,165.59/1,748.59 = 343.91/x
3. Step 3: Cross multiply
   1,165.59x = 1,748.59 × 343.91
4. Step 4: Simplify right side
   1,165.59x = 601,361.10
5. Step 5: Solve for x
   x = 601,361.10/1,165.59
6. Step 6: Final answer
   x = 515.93