Finding the Fourth Proportional to 1,181.82, 1,773.39 and 523.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.82 : 1,773.39 = 523.82 : x
2. Step 2: Convert to fraction form
   1,181.82/1,773.39 = 523.82/x
3. Step 3: Cross multiply
   1,181.82x = 1,773.39 × 523.82
4. Step 4: Simplify right side
   1,181.82x = 928,943.55
5. Step 5: Solve for x
   x = 928,943.55/1,181.82
6. Step 6: Final answer
   x = 786.03