Finding the Fourth Proportional to 1,160.89, 1,601.46 and 846

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.89 : 1,601.46 = 846 : x
2. Step 2: Convert to fraction form
   1,160.89/1,601.46 = 846/x
3. Step 3: Cross multiply
   1,160.89x = 1,601.46 × 846
4. Step 4: Simplify right side
   1,160.89x = 1,354,835.16
5. Step 5: Solve for x
   x = 1,354,835.16/1,160.89
6. Step 6: Final answer
   x = 1,167.07