Finding the Fourth Proportional to 3,641.58, 5,462.06 and 1,561.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,641.58 : 5,462.06 = 1,561.82 : x
2. Step 2: Convert to fraction form
   3,641.58/5,462.06 = 1,561.82/x
3. Step 3: Cross multiply
   3,641.58x = 5,462.06 × 1,561.82
4. Step 4: Simplify right side
   3,641.58x = 8,530,719.43
5. Step 5: Solve for x
   x = 8,530,719.43/3,641.58
6. Step 6: Final answer
   x = 2,342.59