Finding the Fourth Proportional to 2,536.91, 3,500.71 and 1,460.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.91 : 3,500.71 = 1,460.22 : x
2. Step 2: Convert to fraction form
   2,536.91/3,500.71 = 1,460.22/x
3. Step 3: Cross multiply
   2,536.91x = 3,500.71 × 1,460.22
4. Step 4: Simplify right side
   2,536.91x = 5,111,806.76
5. Step 5: Solve for x
   x = 5,111,806.76/2,536.91
6. Step 6: Final answer
   x = 2,014.97