Finding the Fourth Proportional to 1,335.50, 1,842.23 and 775.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.50 : 1,842.23 = 775.90 : x
2. Step 2: Convert to fraction form
   1,335.50/1,842.23 = 775.90/x
3. Step 3: Cross multiply
   1,335.50x = 1,842.23 × 775.90
4. Step 4: Simplify right side
   1,335.50x = 1,429,377.77
5. Step 5: Solve for x
   x = 1,429,377.77/1,335.50
6. Step 6: Final answer
   x = 1,070.29