Finding the Fourth Proportional to 1,538.48, 2,302.20 and 1,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.48 : 2,302.20 = 1,435.50 : x
2. Step 2: Convert to fraction form
   1,538.48/2,302.20 = 1,435.50/x
3. Step 3: Cross multiply
   1,538.48x = 2,302.20 × 1,435.50
4. Step 4: Simplify right side
   1,538.48x = 3,304,808.10
5. Step 5: Solve for x
   x = 3,304,808.10/1,538.48
6. Step 6: Final answer
   x = 2,148.10