Finding the Fourth Proportional to 3,510.47, 4,842.74 and 2,564.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,510.47 : 4,842.74 = 2,564.69 : x
2. Step 2: Convert to fraction form
   3,510.47/4,842.74 = 2,564.69/x
3. Step 3: Cross multiply
   3,510.47x = 4,842.74 × 2,564.69
4. Step 4: Simplify right side
   3,510.47x = 12,420,109.05
5. Step 5: Solve for x
   x = 12,420,109.05/3,510.47
6. Step 6: Final answer
   x = 3,538.02