Finding the Fourth Proportional to 1,530.42, 2,111.99 and 831.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.42 : 2,111.99 = 831.80 : x
2. Step 2: Convert to fraction form
   1,530.42/2,111.99 = 831.80/x
3. Step 3: Cross multiply
   1,530.42x = 2,111.99 × 831.80
4. Step 4: Simplify right side
   1,530.42x = 1,756,742.52
5. Step 5: Solve for x
   x = 1,756,742.52/1,530.42
6. Step 6: Final answer
   x = 1,147.88