Finding the Fourth Proportional to 2,564.15, 3,538.52 and 1,501.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.15 : 3,538.52 = 1,501.72 : x
2. Step 2: Convert to fraction form
   2,564.15/3,538.52 = 1,501.72/x
3. Step 3: Cross multiply
   2,564.15x = 3,538.52 × 1,501.72
4. Step 4: Simplify right side
   2,564.15x = 5,313,861.16
5. Step 5: Solve for x
   x = 5,313,861.16/2,564.15
6. Step 6: Final answer
   x = 2,072.37