Finding the Fourth Proportional to 1,311.96, 1,799.42 and 1,164.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,311.96 : 1,799.42 = 1,164.35 : x
2. Step 2: Convert to fraction form
   1,311.96/1,799.42 = 1,164.35/x
3. Step 3: Cross multiply
   1,311.96x = 1,799.42 × 1,164.35
4. Step 4: Simplify right side
   1,311.96x = 2,095,139.86
5. Step 5: Solve for x
   x = 2,095,139.86/1,311.96
6. Step 6: Final answer
   x = 1,596.95