Finding the Fourth Proportional to 1,536.42, 2,120.16 and 1,038.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.42 : 2,120.16 = 1,038.27 : x
2. Step 2: Convert to fraction form
   1,536.42/2,120.16 = 1,038.27/x
3. Step 3: Cross multiply
   1,536.42x = 2,120.16 × 1,038.27
4. Step 4: Simplify right side
   1,536.42x = 2,201,298.52
5. Step 5: Solve for x
   x = 2,201,298.52/1,536.42
6. Step 6: Final answer
   x = 1,432.75