Finding the Fourth Proportional to 1,109.93, 1,665.29 and 379.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.93 : 1,665.29 = 379.71 : x
2. Step 2: Convert to fraction form
   1,109.93/1,665.29 = 379.71/x
3. Step 3: Cross multiply
   1,109.93x = 1,665.29 × 379.71
4. Step 4: Simplify right side
   1,109.93x = 632,328.22
5. Step 5: Solve for x
   x = 632,328.22/1,109.93
6. Step 6: Final answer
   x = 569.70