Finding the Fourth Proportional to 1,111.37, 1,666.62 and 380.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.37 : 1,666.62 = 380.75 : x
2. Step 2: Convert to fraction form
   1,111.37/1,666.62 = 380.75/x
3. Step 3: Cross multiply
   1,111.37x = 1,666.62 × 380.75
4. Step 4: Simplify right side
   1,111.37x = 634,557.23
5. Step 5: Solve for x
   x = 634,557.23/1,111.37
6. Step 6: Final answer
   x = 570.97