Finding the Fourth Proportional to 1,002.34, 1,383.24 and 554.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.34 : 1,383.24 = 554.24 : x
2. Step 2: Convert to fraction form
   1,002.34/1,383.24 = 554.24/x
3. Step 3: Cross multiply
   1,002.34x = 1,383.24 × 554.24
4. Step 4: Simplify right side
   1,002.34x = 766,647.80
5. Step 5: Solve for x
   x = 766,647.80/1,002.34
6. Step 6: Final answer
   x = 764.86