Finding the Fourth Proportional to 1,038.69, 1,556.55 and 762.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.69 : 1,556.55 = 762.62 : x
2. Step 2: Convert to fraction form
   1,038.69/1,556.55 = 762.62/x
3. Step 3: Cross multiply
   1,038.69x = 1,556.55 × 762.62
4. Step 4: Simplify right side
   1,038.69x = 1,187,048.38
5. Step 5: Solve for x
   x = 1,187,048.38/1,038.69
6. Step 6: Final answer
   x = 1,142.83