Finding the Fourth Proportional to 1,536.71, 2,120.54 and 947.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.71 : 2,120.54 = 947.25 : x
2. Step 2: Convert to fraction form
   1,536.71/2,120.54 = 947.25/x
3. Step 3: Cross multiply
   1,536.71x = 2,120.54 × 947.25
4. Step 4: Simplify right side
   1,536.71x = 2,008,676.78
5. Step 5: Solve for x
   x = 2,008,676.78/1,536.71
6. Step 6: Final answer
   x = 1,307.13