Finding the Fourth Proportional to 1,641.42, 2,462.52 and 775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.42 : 2,462.52 = 775.50 : x
2. Step 2: Convert to fraction form
   1,641.42/2,462.52 = 775.50/x
3. Step 3: Cross multiply
   1,641.42x = 2,462.52 × 775.50
4. Step 4: Simplify right side
   1,641.42x = 1,909,684.26
5. Step 5: Solve for x
   x = 1,909,684.26/1,641.42
6. Step 6: Final answer
   x = 1,163.43