Finding the Fourth Proportional to 2,507.84, 3,460.16 and 1,460.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.84 : 3,460.16 = 1,460.16 : x
2. Step 2: Convert to fraction form
   2,507.84/3,460.16 = 1,460.16/x
3. Step 3: Cross multiply
   2,507.84x = 3,460.16 × 1,460.16
4. Step 4: Simplify right side
   2,507.84x = 5,052,387.23
5. Step 5: Solve for x
   x = 5,052,387.23/2,507.84
6. Step 6: Final answer
   x = 2,014.64