Finding the Fourth Proportional to 1,123.67, 1,682.78 and 776.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.67 : 1,682.78 = 776.08 : x
2. Step 2: Convert to fraction form
   1,123.67/1,682.78 = 776.08/x
3. Step 3: Cross multiply
   1,123.67x = 1,682.78 × 776.08
4. Step 4: Simplify right side
   1,123.67x = 1,305,970.13
5. Step 5: Solve for x
   x = 1,305,970.13/1,123.67
6. Step 6: Final answer
   x = 1,162.23