Finding the Fourth Proportional to 10,569.87, 15,856.61 and 3,642.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569.87 : 15,856.61 = 3,642.75 : x
2. Step 2: Convert to fraction form
   10,569.87/15,856.61 = 3,642.75/x
3. Step 3: Cross multiply
   10,569.87x = 15,856.61 × 3,642.75
4. Step 4: Simplify right side
   10,569.87x = 57,761,647.86
5. Step 5: Solve for x
   x = 57,761,647.86/10,569.87
6. Step 6: Final answer
   x = 5,464.75