Finding the Fourth Proportional to 1,362.38, 1,880.06 and 764.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,362.38 : 1,880.06 = 764.90 : x
2. Step 2: Convert to fraction form
   1,362.38/1,880.06 = 764.90/x
3. Step 3: Cross multiply
   1,362.38x = 1,880.06 × 764.90
4. Step 4: Simplify right side
   1,362.38x = 1,438,044.67
5. Step 5: Solve for x
   x = 1,438,044.67/1,362.38
6. Step 6: Final answer
   x = 1,055.54