Finding the Fourth Proportional to 1,002.82, 1,501.80 and 693.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.82 : 1,501.80 = 693.85 : x
2. Step 2: Convert to fraction form
   1,002.82/1,501.80 = 693.85/x
3. Step 3: Cross multiply
   1,002.82x = 1,501.80 × 693.85
4. Step 4: Simplify right side
   1,002.82x = 1,042,023.93
5. Step 5: Solve for x
   x = 1,042,023.93/1,002.82
6. Step 6: Final answer
   x = 1,039.09