Finding the Fourth Proportional to 1,355.00, 1,869.41 and 765.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.00 : 1,869.41 = 765.42 : x
2. Step 2: Convert to fraction form
   1,355.00/1,869.41 = 765.42/x
3. Step 3: Cross multiply
   1,355.00x = 1,869.41 × 765.42
4. Step 4: Simplify right side
   1,355.00x = 1,430,878.71
5. Step 5: Solve for x
   x = 1,430,878.71/1,355.00
6. Step 6: Final answer
   x = 1,056.00