Finding the Fourth Proportional to 1,009.58, 1,506.83 and 877.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.58 : 1,506.83 = 877.23 : x
2. Step 2: Convert to fraction form
   1,009.58/1,506.83 = 877.23/x
3. Step 3: Cross multiply
   1,009.58x = 1,506.83 × 877.23
4. Step 4: Simplify right side
   1,009.58x = 1,321,832.09
5. Step 5: Solve for x
   x = 1,321,832.09/1,009.58
6. Step 6: Final answer
   x = 1,309.30