Finding the Fourth Proportional to 1,536.17, 2,120.69 and 906.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.17 : 2,120.69 = 906.89 : x
2. Step 2: Convert to fraction form
   1,536.17/2,120.69 = 906.89/x
3. Step 3: Cross multiply
   1,536.17x = 2,120.69 × 906.89
4. Step 4: Simplify right side
   1,536.17x = 1,923,224.22
5. Step 5: Solve for x
   x = 1,923,224.22/1,536.17
6. Step 6: Final answer
   x = 1,251.96