Finding the Fourth Proportional to 1,175.37, 1,764.59 and 787.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.37 : 1,764.59 = 787.86 : x
2. Step 2: Convert to fraction form
   1,175.37/1,764.59 = 787.86/x
3. Step 3: Cross multiply
   1,175.37x = 1,764.59 × 787.86
4. Step 4: Simplify right side
   1,175.37x = 1,390,249.88
5. Step 5: Solve for x
   x = 1,390,249.88/1,175.37
6. Step 6: Final answer
   x = 1,182.82