Finding the Fourth Proportional to 1,335.06, 1,842.53 and 775.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.06 : 1,842.53 = 775.53 : x
2. Step 2: Convert to fraction form
   1,335.06/1,842.53 = 775.53/x
3. Step 3: Cross multiply
   1,335.06x = 1,842.53 × 775.53
4. Step 4: Simplify right side
   1,335.06x = 1,428,933.41
5. Step 5: Solve for x
   x = 1,428,933.41/1,335.06
6. Step 6: Final answer
   x = 1,070.31