Finding the Fourth Proportional to 1,009.05, 1,506.06 and 869.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.05 : 1,506.06 = 869.61 : x
2. Step 2: Convert to fraction form
   1,009.05/1,506.06 = 869.61/x
3. Step 3: Cross multiply
   1,009.05x = 1,506.06 × 869.61
4. Step 4: Simplify right side
   1,009.05x = 1,309,684.84
5. Step 5: Solve for x
   x = 1,309,684.84/1,009.05
6. Step 6: Final answer
   x = 1,297.94