Finding the Fourth Proportional to 1,156.16, 1,606.56 and 1,144.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.16 : 1,606.56 = 1,144.32 : x
2. Step 2: Convert to fraction form
   1,156.16/1,606.56 = 1,144.32/x
3. Step 3: Cross multiply
   1,156.16x = 1,606.56 × 1,144.32
4. Step 4: Simplify right side
   1,156.16x = 1,838,418.74
5. Step 5: Solve for x
   x = 1,838,418.74/1,156.16
6. Step 6: Final answer
   x = 1,590.11