Finding the Fourth Proportional to 1,288.01, 1,777.33 and 728.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.01 : 1,777.33 = 728.53 : x
2. Step 2: Convert to fraction form
   1,288.01/1,777.33 = 728.53/x
3. Step 3: Cross multiply
   1,288.01x = 1,777.33 × 728.53
4. Step 4: Simplify right side
   1,288.01x = 1,294,829.34
5. Step 5: Solve for x
   x = 1,294,829.34/1,288.01
6. Step 6: Final answer
   x = 1,005.30