Finding the Fourth Proportional to 1,296.00, 1,788.56 and 736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.00 : 1,788.56 = 736.50 : x
2. Step 2: Convert to fraction form
   1,296.00/1,788.56 = 736.50/x
3. Step 3: Cross multiply
   1,296.00x = 1,788.56 × 736.50
4. Step 4: Simplify right side
   1,296.00x = 1,317,269.28
5. Step 5: Solve for x
   x = 1,317,269.28/1,296.00
6. Step 6: Final answer
   x = 1,016.41