Finding the Fourth Proportional to 1,025.98, 1,538.49 and 341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.98 : 1,538.49 = 341.50 : x
2. Step 2: Convert to fraction form
   1,025.98/1,538.49 = 341.50/x
3. Step 3: Cross multiply
   1,025.98x = 1,538.49 × 341.50
4. Step 4: Simplify right side
   1,025.98x = 525,394.34
5. Step 5: Solve for x
   x = 525,394.34/1,025.98
6. Step 6: Final answer
   x = 512.09