Finding the Fourth Proportional to 1,002.05, 1,506.06 and 829.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.05 : 1,506.06 = 829.83 : x
2. Step 2: Convert to fraction form
   1,002.05/1,506.06 = 829.83/x
3. Step 3: Cross multiply
   1,002.05x = 1,506.06 × 829.83
4. Step 4: Simplify right side
   1,002.05x = 1,249,770.95
5. Step 5: Solve for x
   x = 1,249,770.95/1,002.05
6. Step 6: Final answer
   x = 1,247.21