Finding the Fourth Proportional to 1,047.57, 1,570.89 and 462.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047.57 : 1,570.89 = 462.24 : x
2. Step 2: Convert to fraction form
   1,047.57/1,570.89 = 462.24/x
3. Step 3: Cross multiply
   1,047.57x = 1,570.89 × 462.24
4. Step 4: Simplify right side
   1,047.57x = 726,128.19
5. Step 5: Solve for x
   x = 726,128.19/1,047.57
6. Step 6: Final answer
   x = 693.15