Finding the Fourth Proportional to 1,536.42, 2,119.98 and 1,458.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.42 : 2,119.98 = 1,458.57 : x
2. Step 2: Convert to fraction form
   1,536.42/2,119.98 = 1,458.57/x
3. Step 3: Cross multiply
   1,536.42x = 2,119.98 × 1,458.57
4. Step 4: Simplify right side
   1,536.42x = 3,092,139.23
5. Step 5: Solve for x
   x = 3,092,139.23/1,536.42
6. Step 6: Final answer
   x = 2,012.56