Finding the Fourth Proportional to 1,536.24, 2,300.93 and 712.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.24 : 2,300.93 = 712.02 : x
2. Step 2: Convert to fraction form
   1,536.24/2,300.93 = 712.02/x
3. Step 3: Cross multiply
   1,536.24x = 2,300.93 × 712.02
4. Step 4: Simplify right side
   1,536.24x = 1,638,308.18
5. Step 5: Solve for x
   x = 1,638,308.18/1,536.24
6. Step 6: Final answer
   x = 1,066.44