Finding the Fourth Proportional to 1,160.53, 1,740.83 and 502.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.53 : 1,740.83 = 502.27 : x
2. Step 2: Convert to fraction form
   1,160.53/1,740.83 = 502.27/x
3. Step 3: Cross multiply
   1,160.53x = 1,740.83 × 502.27
4. Step 4: Simplify right side
   1,160.53x = 874,359.82
5. Step 5: Solve for x
   x = 874,359.82/1,160.53
6. Step 6: Final answer
   x = 753.42