Finding the Fourth Proportional to 1,610.35, 2,415.42 and 456.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,610.35 : 2,415.42 = 456.10 : x
2. Step 2: Convert to fraction form
   1,610.35/2,415.42 = 456.10/x
3. Step 3: Cross multiply
   1,610.35x = 2,415.42 × 456.10
4. Step 4: Simplify right side
   1,610.35x = 1,101,667.02
5. Step 5: Solve for x
   x = 1,101,667.02/1,610.35
6. Step 6: Final answer
   x = 684.12