Finding the Fourth Proportional to 1,012.52, 1,518.78 and 465.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.52 : 1,518.78 = 465.10 : x
2. Step 2: Convert to fraction form
   1,012.52/1,518.78 = 465.10/x
3. Step 3: Cross multiply
   1,012.52x = 1,518.78 × 465.10
4. Step 4: Simplify right side
   1,012.52x = 706,384.58
5. Step 5: Solve for x
   x = 706,384.58/1,012.52
6. Step 6: Final answer
   x = 697.65