Finding the Fourth Proportional to 1,530.81, 2,113.82 and 972.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.81 : 2,113.82 = 972.27 : x
2. Step 2: Convert to fraction form
   1,530.81/2,113.82 = 972.27/x
3. Step 3: Cross multiply
   1,530.81x = 2,113.82 × 972.27
4. Step 4: Simplify right side
   1,530.81x = 2,055,198.91
5. Step 5: Solve for x
   x = 2,055,198.91/1,530.81
6. Step 6: Final answer
   x = 1,342.56