Finding the Fourth Proportional to 1,166.69, 1,597.40 and 1,162.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.69 : 1,597.40 = 1,162.58 : x
2. Step 2: Convert to fraction form
   1,166.69/1,597.40 = 1,162.58/x
3. Step 3: Cross multiply
   1,166.69x = 1,597.40 × 1,162.58
4. Step 4: Simplify right side
   1,166.69x = 1,857,109.29
5. Step 5: Solve for x
   x = 1,857,109.29/1,166.69
6. Step 6: Final answer
   x = 1,591.78