Finding the Fourth Proportional to 1,234.47, 1,852.47 and 541.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,234.47 : 1,852.47 = 541.49 : x
2. Step 2: Convert to fraction form
   1,234.47/1,852.47 = 541.49/x
3. Step 3: Cross multiply
   1,234.47x = 1,852.47 × 541.49
4. Step 4: Simplify right side
   1,234.47x = 1,003,084.72
5. Step 5: Solve for x
   x = 1,003,084.72/1,234.47
6. Step 6: Final answer
   x = 812.56