Finding the Fourth Proportional to 1,643.12, 2,462.16 and 775.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,643.12 : 2,462.16 = 775.52 : x
2. Step 2: Convert to fraction form
   1,643.12/2,462.16 = 775.52/x
3. Step 3: Cross multiply
   1,643.12x = 2,462.16 × 775.52
4. Step 4: Simplify right side
   1,643.12x = 1,909,454.32
5. Step 5: Solve for x
   x = 1,909,454.32/1,643.12
6. Step 6: Final answer
   x = 1,162.09