Finding the Fourth Proportional to 1,025.50, 1,538.27 and 367.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.50 : 1,538.27 = 367.42 : x
2. Step 2: Convert to fraction form
   1,025.50/1,538.27 = 367.42/x
3. Step 3: Cross multiply
   1,025.50x = 1,538.27 × 367.42
4. Step 4: Simplify right side
   1,025.50x = 565,181.63
5. Step 5: Solve for x
   x = 565,181.63/1,025.50
6. Step 6: Final answer
   x = 551.13