Finding the Fourth Proportional to 3,665.48, 5,498.64 and 1,586.00

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.48 : 5,498.64 = 1,586.00 : x
2. Step 2: Convert to fraction form
   3,665.48/5,498.64 = 1,586.00/x
3. Step 3: Cross multiply
   3,665.48x = 5,498.64 × 1,586.00
4. Step 4: Simplify right side
   3,665.48x = 8,720,815.55
5. Step 5: Solve for x
   x = 8,720,815.55/3,665.48
6. Step 6: Final answer
   x = 2,379.18