Finding the Fourth Proportional to 1,003.34, 1,505.55 and 541.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.34 : 1,505.55 = 541.46 : x
2. Step 2: Convert to fraction form
   1,003.34/1,505.55 = 541.46/x
3. Step 3: Cross multiply
   1,003.34x = 1,505.55 × 541.46
4. Step 4: Simplify right side
   1,003.34x = 815,195.10
5. Step 5: Solve for x
   x = 815,195.10/1,003.34
6. Step 6: Final answer
   x = 812.48