Finding the Fourth Proportional to 3,665.61, 5,498.86 and 1,199.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.61 : 5,498.86 = 1,199.76 : x
2. Step 2: Convert to fraction form
   3,665.61/5,498.86 = 1,199.76/x
3. Step 3: Cross multiply
   3,665.61x = 5,498.86 × 1,199.76
4. Step 4: Simplify right side
   3,665.61x = 6,597,312.27
5. Step 5: Solve for x
   x = 6,597,312.27/3,665.61
6. Step 6: Final answer
   x = 1,799.79