Finding the Fourth Proportional to 1,158.72, 1,736.42 and 464.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.72 : 1,736.42 = 464.96 : x
2. Step 2: Convert to fraction form
   1,158.72/1,736.42 = 464.96/x
3. Step 3: Cross multiply
   1,158.72x = 1,736.42 × 464.96
4. Step 4: Simplify right side
   1,158.72x = 807,354.84
5. Step 5: Solve for x
   x = 807,354.84/1,158.72
6. Step 6: Final answer
   x = 696.76