Finding the Fourth Proportional to 1,147.52, 1,719.96 and 416.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.52 : 1,719.96 = 416.72 : x
2. Step 2: Convert to fraction form
   1,147.52/1,719.96 = 416.72/x
3. Step 3: Cross multiply
   1,147.52x = 1,719.96 × 416.72
4. Step 4: Simplify right side
   1,147.52x = 716,741.73
5. Step 5: Solve for x
   x = 716,741.73/1,147.52
6. Step 6: Final answer
   x = 624.60