Finding the Fourth Proportional to 1,642.89, 2,462.50 and 775.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.89 : 2,462.50 = 775.38 : x
2. Step 2: Convert to fraction form
   1,642.89/2,462.50 = 775.38/x
3. Step 3: Cross multiply
   1,642.89x = 2,462.50 × 775.38
4. Step 4: Simplify right side
   1,642.89x = 1,909,373.25
5. Step 5: Solve for x
   x = 1,909,373.25/1,642.89
6. Step 6: Final answer
   x = 1,162.20