Finding the Fourth Proportional to 1,364.35, 1,882.62 and 766.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.35 : 1,882.62 = 766.76 : x
2. Step 2: Convert to fraction form
   1,364.35/1,882.62 = 766.76/x
3. Step 3: Cross multiply
   1,364.35x = 1,882.62 × 766.76
4. Step 4: Simplify right side
   1,364.35x = 1,443,526.29
5. Step 5: Solve for x
   x = 1,443,526.29/1,364.35
6. Step 6: Final answer
   x = 1,058.03