Finding the Fourth Proportional to 1,534.80, 2,118.50 and 1,456.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.80 : 2,118.50 = 1,456.42 : x
2. Step 2: Convert to fraction form
   1,534.80/2,118.50 = 1,456.42/x
3. Step 3: Cross multiply
   1,534.80x = 2,118.50 × 1,456.42
4. Step 4: Simplify right side
   1,534.80x = 3,085,425.77
5. Step 5: Solve for x
   x = 3,085,425.77/1,534.80
6. Step 6: Final answer
   x = 2,010.31