Finding the Fourth Proportional to 1,215.60, 1,677.24 and 684.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215.60 : 1,677.24 = 684.34 : x
2. Step 2: Convert to fraction form
   1,215.60/1,677.24 = 684.34/x
3. Step 3: Cross multiply
   1,215.60x = 1,677.24 × 684.34
4. Step 4: Simplify right side
   1,215.60x = 1,147,802.42
5. Step 5: Solve for x
   x = 1,147,802.42/1,215.60
6. Step 6: Final answer
   x = 944.23