Finding the Fourth Proportional to 1,123.69, 1,684.69 and 776.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.69 : 1,684.69 = 776.04 : x
2. Step 2: Convert to fraction form
   1,123.69/1,684.69 = 776.04/x
3. Step 3: Cross multiply
   1,123.69x = 1,684.69 × 776.04
4. Step 4: Simplify right side
   1,123.69x = 1,307,386.83
5. Step 5: Solve for x
   x = 1,307,386.83/1,123.69
6. Step 6: Final answer
   x = 1,163.48