Finding the Fourth Proportional to 2,594.57, 3,580.50 and 1,415.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,594.57 : 3,580.50 = 1,415.64 : x
2. Step 2: Convert to fraction form
   2,594.57/3,580.50 = 1,415.64/x
3. Step 3: Cross multiply
   2,594.57x = 3,580.50 × 1,415.64
4. Step 4: Simplify right side
   2,594.57x = 5,068,699.02
5. Step 5: Solve for x
   x = 5,068,699.02/2,594.57
6. Step 6: Final answer
   x = 1,953.58