Finding the Fourth Proportional to 2,564.06, 3,538.59 and 1,516.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.06 : 3,538.59 = 1,516.94 : x
2. Step 2: Convert to fraction form
   2,564.06/3,538.59 = 1,516.94/x
3. Step 3: Cross multiply
   2,564.06x = 3,538.59 × 1,516.94
4. Step 4: Simplify right side
   2,564.06x = 5,367,828.71
5. Step 5: Solve for x
   x = 5,367,828.71/2,564.06
6. Step 6: Final answer
   x = 2,093.49