Finding the Fourth Proportional to 1,113.72, 1,669.72 and 463.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,113.72 : 1,669.72 = 463.56 : x
2. Step 2: Convert to fraction form
   1,113.72/1,669.72 = 463.56/x
3. Step 3: Cross multiply
   1,113.72x = 1,669.72 × 463.56
4. Step 4: Simplify right side
   1,113.72x = 774,015.40
5. Step 5: Solve for x
   x = 774,015.40/1,113.72
6. Step 6: Final answer
   x = 694.98