Finding the Fourth Proportional to 2,627.98, 3,627.36 and 1,566.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.98 : 3,627.36 = 1,566.47 : x
2. Step 2: Convert to fraction form
   2,627.98/3,627.36 = 1,566.47/x
3. Step 3: Cross multiply
   2,627.98x = 3,627.36 × 1,566.47
4. Step 4: Simplify right side
   2,627.98x = 5,682,159.69
5. Step 5: Solve for x
   x = 5,682,159.69/2,627.98
6. Step 6: Final answer
   x = 2,162.18