Finding the Fourth Proportional to 1,109.94, 1,665.11 and 379.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.94 : 1,665.11 = 379.72 : x
2. Step 2: Convert to fraction form
   1,109.94/1,665.11 = 379.72/x
3. Step 3: Cross multiply
   1,109.94x = 1,665.11 × 379.72
4. Step 4: Simplify right side
   1,109.94x = 632,275.57
5. Step 5: Solve for x
   x = 632,275.57/1,109.94
6. Step 6: Final answer
   x = 569.65