Finding the Fourth Proportional to 1,536.30, 2,120.56 and 1,457.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.30 : 2,120.56 = 1,457.94 : x
2. Step 2: Convert to fraction form
   1,536.30/2,120.56 = 1,457.94/x
3. Step 3: Cross multiply
   1,536.30x = 2,120.56 × 1,457.94
4. Step 4: Simplify right side
   1,536.30x = 3,091,649.25
5. Step 5: Solve for x
   x = 3,091,649.25/1,536.30
6. Step 6: Final answer
   x = 2,012.40