Finding the Fourth Proportional to 1,536.54, 2,120.82 and 947.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.54 : 2,120.82 = 947.56 : x
2. Step 2: Convert to fraction form
   1,536.54/2,120.82 = 947.56/x
3. Step 3: Cross multiply
   1,536.54x = 2,120.82 × 947.56
4. Step 4: Simplify right side
   1,536.54x = 2,009,604.20
5. Step 5: Solve for x
   x = 2,009,604.20/1,536.54
6. Step 6: Final answer
   x = 1,307.88