Finding the Fourth Proportional to 1,181.79, 1,773.60 and 770.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.79 : 1,773.60 = 770.82 : x
2. Step 2: Convert to fraction form
   1,181.79/1,773.60 = 770.82/x
3. Step 3: Cross multiply
   1,181.79x = 1,773.60 × 770.82
4. Step 4: Simplify right side
   1,181.79x = 1,367,116.81
5. Step 5: Solve for x
   x = 1,367,116.81/1,181.79
6. Step 6: Final answer
   x = 1,156.82