Finding the Fourth Proportional to 1,184.24, 1,772.71 and 1,009.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.24 : 1,772.71 = 1,009.28 : x
2. Step 2: Convert to fraction form
   1,184.24/1,772.71 = 1,009.28/x
3. Step 3: Cross multiply
   1,184.24x = 1,772.71 × 1,009.28
4. Step 4: Simplify right side
   1,184.24x = 1,789,160.75
5. Step 5: Solve for x
   x = 1,789,160.75/1,184.24
6. Step 6: Final answer
   x = 1,510.81