Finding the Fourth Proportional to 1,335.53, 1,842.81 and 776.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.53 : 1,842.81 = 776.09 : x
2. Step 2: Convert to fraction form
   1,335.53/1,842.81 = 776.09/x
3. Step 3: Cross multiply
   1,335.53x = 1,842.81 × 776.09
4. Step 4: Simplify right side
   1,335.53x = 1,430,186.41
5. Step 5: Solve for x
   x = 1,430,186.41/1,335.53
6. Step 6: Final answer
   x = 1,070.88