Finding the Fourth Proportional to 1,003.46, 1,384.10 and 654.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.46 : 1,384.10 = 654.14 : x
2. Step 2: Convert to fraction form
   1,003.46/1,384.10 = 654.14/x
3. Step 3: Cross multiply
   1,003.46x = 1,384.10 × 654.14
4. Step 4: Simplify right side
   1,003.46x = 905,395.17
5. Step 5: Solve for x
   x = 905,395.17/1,003.46
6. Step 6: Final answer
   x = 902.27