Finding the Fourth Proportional to 1,005.63, 1,506.88 and 698.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.63 : 1,506.88 = 698.09 : x
2. Step 2: Convert to fraction form
   1,005.63/1,506.88 = 698.09/x
3. Step 3: Cross multiply
   1,005.63x = 1,506.88 × 698.09
4. Step 4: Simplify right side
   1,005.63x = 1,051,937.86
5. Step 5: Solve for x
   x = 1,051,937.86/1,005.63
6. Step 6: Final answer
   x = 1,046.05