Finding the Fourth Proportional to 1,442.62, 2,164.94 and 785.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,442.62 : 2,164.94 = 785.82 : x
2. Step 2: Convert to fraction form
   1,442.62/2,164.94 = 785.82/x
3. Step 3: Cross multiply
   1,442.62x = 2,164.94 × 785.82
4. Step 4: Simplify right side
   1,442.62x = 1,701,253.15
5. Step 5: Solve for x
   x = 1,701,253.15/1,442.62
6. Step 6: Final answer
   x = 1,179.28