Finding the Fourth Proportional to 1,892.32, 2,838.96 and 1,199.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.32 : 2,838.96 = 1,199.20 : x
2. Step 2: Convert to fraction form
   1,892.32/2,838.96 = 1,199.20/x
3. Step 3: Cross multiply
   1,892.32x = 2,838.96 × 1,199.20
4. Step 4: Simplify right side
   1,892.32x = 3,404,480.83
5. Step 5: Solve for x
   x = 3,404,480.83/1,892.32
6. Step 6: Final answer
   x = 1,799.10