Finding the Fourth Proportional to 1,156.57, 1,734.53 and 416.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.57 : 1,734.53 = 416.07 : x
2. Step 2: Convert to fraction form
   1,156.57/1,734.53 = 416.07/x
3. Step 3: Cross multiply
   1,156.57x = 1,734.53 × 416.07
4. Step 4: Simplify right side
   1,156.57x = 721,683.82
5. Step 5: Solve for x
   x = 721,683.82/1,156.57
6. Step 6: Final answer
   x = 623.99