Finding the Fourth Proportional to 1,337.57, 1,996.14 and 1,191.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.57 : 1,996.14 = 1,191.77 : x
2. Step 2: Convert to fraction form
   1,337.57/1,996.14 = 1,191.77/x
3. Step 3: Cross multiply
   1,337.57x = 1,996.14 × 1,191.77
4. Step 4: Simplify right side
   1,337.57x = 2,378,939.77
5. Step 5: Solve for x
   x = 2,378,939.77/1,337.57
6. Step 6: Final answer
   x = 1,778.55