Finding the Fourth Proportional to 1,178.42, 1,636.88 and 1,159.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.42 : 1,636.88 = 1,159.58 : x
2. Step 2: Convert to fraction form
   1,178.42/1,636.88 = 1,159.58/x
3. Step 3: Cross multiply
   1,178.42x = 1,636.88 × 1,159.58
4. Step 4: Simplify right side
   1,178.42x = 1,898,105.30
5. Step 5: Solve for x
   x = 1,898,105.30/1,178.42
6. Step 6: Final answer
   x = 1,610.72