Finding the Fourth Proportional to 1,536.10, 2,105.05 and 1,388.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.10 : 2,105.05 = 1,388.48 : x
2. Step 2: Convert to fraction form
   1,536.10/2,105.05 = 1,388.48/x
3. Step 3: Cross multiply
   1,536.10x = 2,105.05 × 1,388.48
4. Step 4: Simplify right side
   1,536.10x = 2,922,819.82
5. Step 5: Solve for x
   x = 2,922,819.82/1,536.10
6. Step 6: Final answer
   x = 1,902.75