Finding the Fourth Proportional to 1,288.37, 1,932.89 and 557.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.37 : 1,932.89 = 557.77 : x
2. Step 2: Convert to fraction form
   1,288.37/1,932.89 = 557.77/x
3. Step 3: Cross multiply
   1,288.37x = 1,932.89 × 557.77
4. Step 4: Simplify right side
   1,288.37x = 1,078,108.06
5. Step 5: Solve for x
   x = 1,078,108.06/1,288.37
6. Step 6: Final answer
   x = 836.80