Finding the Fourth Proportional to 1,335.67, 1,842.82 and 776.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.67 : 1,842.82 = 776.03 : x
2. Step 2: Convert to fraction form
   1,335.67/1,842.82 = 776.03/x
3. Step 3: Cross multiply
   1,335.67x = 1,842.82 × 776.03
4. Step 4: Simplify right side
   1,335.67x = 1,430,083.60
5. Step 5: Solve for x
   x = 1,430,083.60/1,335.67
6. Step 6: Final answer
   x = 1,070.69