Finding the Fourth Proportional to 1,580.69, 2,182.07 and 1,160.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580.69 : 2,182.07 = 1,160.30 : x
2. Step 2: Convert to fraction form
   1,580.69/2,182.07 = 1,160.30/x
3. Step 3: Cross multiply
   1,580.69x = 2,182.07 × 1,160.30
4. Step 4: Simplify right side
   1,580.69x = 2,531,855.82
5. Step 5: Solve for x
   x = 2,531,855.82/1,580.69
6. Step 6: Final answer
   x = 1,601.74