Finding the Fourth Proportional to 1,536.68, 2,123.46 and 1,460.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.68 : 2,123.46 = 1,460.82 : x
2. Step 2: Convert to fraction form
   1,536.68/2,123.46 = 1,460.82/x
3. Step 3: Cross multiply
   1,536.68x = 2,123.46 × 1,460.82
4. Step 4: Simplify right side
   1,536.68x = 3,101,992.84
5. Step 5: Solve for x
   x = 3,101,992.84/1,536.68
6. Step 6: Final answer
   x = 2,018.63