Finding the Fourth Proportional to 1,355.02, 1,869.86 and 765.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.02 : 1,869.86 = 765.58 : x
2. Step 2: Convert to fraction form
   1,355.02/1,869.86 = 765.58/x
3. Step 3: Cross multiply
   1,355.02x = 1,869.86 × 765.58
4. Step 4: Simplify right side
   1,355.02x = 1,431,527.42
5. Step 5: Solve for x
   x = 1,431,527.42/1,355.02
6. Step 6: Final answer
   x = 1,056.46