Finding the Fourth Proportional to 1,003.98, 1,505.76 and 310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.98 : 1,505.76 = 310.50 : x
2. Step 2: Convert to fraction form
   1,003.98/1,505.76 = 310.50/x
3. Step 3: Cross multiply
   1,003.98x = 1,505.76 × 310.50
4. Step 4: Simplify right side
   1,003.98x = 467,538.48
5. Step 5: Solve for x
   x = 467,538.48/1,003.98
6. Step 6: Final answer
   x = 465.69