Finding the Fourth Proportional to 1,152.79, 1,728.52 and 788.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.79 : 1,728.52 = 788.02 : x
2. Step 2: Convert to fraction form
   1,152.79/1,728.52 = 788.02/x
3. Step 3: Cross multiply
   1,152.79x = 1,728.52 × 788.02
4. Step 4: Simplify right side
   1,152.79x = 1,362,108.33
5. Step 5: Solve for x
   x = 1,362,108.33/1,152.79
6. Step 6: Final answer
   x = 1,181.58