Finding the Fourth Proportional to 1,453.72, 2,006.16 and 832.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.72 : 2,006.16 = 832.72 : x
2. Step 2: Convert to fraction form
   1,453.72/2,006.16 = 832.72/x
3. Step 3: Cross multiply
   1,453.72x = 2,006.16 × 832.72
4. Step 4: Simplify right side
   1,453.72x = 1,670,569.56
5. Step 5: Solve for x
   x = 1,670,569.56/1,453.72
6. Step 6: Final answer
   x = 1,149.17