Finding the Fourth Proportional to 1,162.53, 1,602.72 and 788.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.53 : 1,602.72 = 788.85 : x
2. Step 2: Convert to fraction form
   1,162.53/1,602.72 = 788.85/x
3. Step 3: Cross multiply
   1,162.53x = 1,602.72 × 788.85
4. Step 4: Simplify right side
   1,162.53x = 1,264,305.67
5. Step 5: Solve for x
   x = 1,264,305.67/1,162.53
6. Step 6: Final answer
   x = 1,087.55