Finding the Fourth Proportional to 1,111.49, 1,666.14 and 380.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.49 : 1,666.14 = 380.58 : x
2. Step 2: Convert to fraction form
   1,111.49/1,666.14 = 380.58/x
3. Step 3: Cross multiply
   1,111.49x = 1,666.14 × 380.58
4. Step 4: Simplify right side
   1,111.49x = 634,099.56
5. Step 5: Solve for x
   x = 634,099.56/1,111.49
6. Step 6: Final answer
   x = 570.50