Finding the Fourth Proportional to 1,885.29, 2,828.34 and 774.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,885.29 : 2,828.34 = 774.71 : x
2. Step 2: Convert to fraction form
   1,885.29/2,828.34 = 774.71/x
3. Step 3: Cross multiply
   1,885.29x = 2,828.34 × 774.71
4. Step 4: Simplify right side
   1,885.29x = 2,191,139.75
5. Step 5: Solve for x
   x = 2,191,139.75/1,885.29
6. Step 6: Final answer
   x = 1,162.23