Finding the Fourth Proportional to 1,364.96, 1,883.59 and 775.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.96 : 1,883.59 = 775.46 : x
2. Step 2: Convert to fraction form
   1,364.96/1,883.59 = 775.46/x
3. Step 3: Cross multiply
   1,364.96x = 1,883.59 × 775.46
4. Step 4: Simplify right side
   1,364.96x = 1,460,639.28
5. Step 5: Solve for x
   x = 1,460,639.28/1,364.96
6. Step 6: Final answer
   x = 1,070.10