Finding the Fourth Proportional to 1,109.77, 1,665.04 and 493.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.77 : 1,665.04 = 493.41 : x
2. Step 2: Convert to fraction form
   1,109.77/1,665.04 = 493.41/x
3. Step 3: Cross multiply
   1,109.77x = 1,665.04 × 493.41
4. Step 4: Simplify right side
   1,109.77x = 821,553.32
5. Step 5: Solve for x
   x = 821,553.32/1,109.77
6. Step 6: Final answer
   x = 740.29