Finding the Fourth Proportional to 1,364.50, 1,883.34 and 775.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.50 : 1,883.34 = 775.36 : x
2. Step 2: Convert to fraction form
   1,364.50/1,883.34 = 775.36/x
3. Step 3: Cross multiply
   1,364.50x = 1,883.34 × 775.36
4. Step 4: Simplify right side
   1,364.50x = 1,460,266.50
5. Step 5: Solve for x
   x = 1,460,266.50/1,364.50
6. Step 6: Final answer
   x = 1,070.18