Finding the Fourth Proportional to 1,109.89, 1,664.84 and 379.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.89 : 1,664.84 = 379.68 : x
2. Step 2: Convert to fraction form
   1,109.89/1,664.84 = 379.68/x
3. Step 3: Cross multiply
   1,109.89x = 1,664.84 × 379.68
4. Step 4: Simplify right side
   1,109.89x = 632,106.45
5. Step 5: Solve for x
   x = 632,106.45/1,109.89
6. Step 6: Final answer
   x = 569.52