Finding the Fourth Proportional to 1,002.24, 1,380.96 and 768.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.24 : 1,380.96 = 768.96 : x
2. Step 2: Convert to fraction form
   1,002.24/1,380.96 = 768.96/x
3. Step 3: Cross multiply
   1,002.24x = 1,380.96 × 768.96
4. Step 4: Simplify right side
   1,002.24x = 1,061,903.00
5. Step 5: Solve for x
   x = 1,061,903.00/1,002.24
6. Step 6: Final answer
   x = 1,059.53