Finding the Fourth Proportional to 3,665.10, 5,498.21 and 1,199.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.10 : 5,498.21 = 1,199.32 : x
2. Step 2: Convert to fraction form
   3,665.10/5,498.21 = 1,199.32/x
3. Step 3: Cross multiply
   3,665.10x = 5,498.21 × 1,199.32
4. Step 4: Simplify right side
   3,665.10x = 6,594,113.22
5. Step 5: Solve for x
   x = 6,594,113.22/3,665.10
6. Step 6: Final answer
   x = 1,799.16