Finding the Fourth Proportional to 1,003.88, 1,506.47 and 541.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.88 : 1,506.47 = 541.98 : x
2. Step 2: Convert to fraction form
   1,003.88/1,506.47 = 541.98/x
3. Step 3: Cross multiply
   1,003.88x = 1,506.47 × 541.98
4. Step 4: Simplify right side
   1,003.88x = 816,473.90
5. Step 5: Solve for x
   x = 816,473.90/1,003.88
6. Step 6: Final answer
   x = 813.32