Finding the Fourth Proportional to 1,105.27, 1,657.89 and 364.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.27 : 1,657.89 = 364.87 : x
2. Step 2: Convert to fraction form
   1,105.27/1,657.89 = 364.87/x
3. Step 3: Cross multiply
   1,105.27x = 1,657.89 × 364.87
4. Step 4: Simplify right side
   1,105.27x = 604,906.03
5. Step 5: Solve for x
   x = 604,906.03/1,105.27
6. Step 6: Final answer
   x = 547.30