Finding the Fourth Proportional to 1,176.96, 1,612.23 and 1,164

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176.96 : 1,612.23 = 1,164 : x
2. Step 2: Convert to fraction form
   1,176.96/1,612.23 = 1,164/x
3. Step 3: Cross multiply
   1,176.96x = 1,612.23 × 1,164
4. Step 4: Simplify right side
   1,176.96x = 1,876,635.72
5. Step 5: Solve for x
   x = 1,876,635.72/1,176.96
6. Step 6: Final answer
   x = 1,594.48