Finding the Fourth Proportional to 1,882.82, 2,823.43 and 771.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,882.82 : 2,823.43 = 771.47 : x
2. Step 2: Convert to fraction form
   1,882.82/2,823.43 = 771.47/x
3. Step 3: Cross multiply
   1,882.82x = 2,823.43 × 771.47
4. Step 4: Simplify right side
   1,882.82x = 2,178,191.54
5. Step 5: Solve for x
   x = 2,178,191.54/1,882.82
6. Step 6: Final answer
   x = 1,156.88