Finding the Fourth Proportional to 1,109.00, 1,663.50 and 492.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.00 : 1,663.50 = 492.53 : x
2. Step 2: Convert to fraction form
   1,109.00/1,663.50 = 492.53/x
3. Step 3: Cross multiply
   1,109.00x = 1,663.50 × 492.53
4. Step 4: Simplify right side
   1,109.00x = 819,315.34
5. Step 5: Solve for x
   x = 819,315.34/1,109.00
6. Step 6: Final answer
   x = 738.79