Finding the Fourth Proportional to 1,946.57, 2,685.89 and 1,160.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.57 : 2,685.89 = 1,160.69 : x
2. Step 2: Convert to fraction form
   1,946.57/2,685.89 = 1,160.69/x
3. Step 3: Cross multiply
   1,946.57x = 2,685.89 × 1,160.69
4. Step 4: Simplify right side
   1,946.57x = 3,117,475.14
5. Step 5: Solve for x
   x = 3,117,475.14/1,946.57
6. Step 6: Final answer
   x = 1,601.53