Finding the Fourth Proportional to 1,109.84, 1,665 and 493.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.84 : 1,665 = 493.34 : x
2. Step 2: Convert to fraction form
   1,109.84/1,665 = 493.34/x
3. Step 3: Cross multiply
   1,109.84x = 1,665 × 493.34
4. Step 4: Simplify right side
   1,109.84x = 821,411.10
5. Step 5: Solve for x
   x = 821,411.10/1,109.84
6. Step 6: Final answer
   x = 740.12