Finding the Fourth Proportional to 1,453.50, 2,005.83 and 832.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.50 : 2,005.83 = 832.62 : x
2. Step 2: Convert to fraction form
   1,453.50/2,005.83 = 832.62/x
3. Step 3: Cross multiply
   1,453.50x = 2,005.83 × 832.62
4. Step 4: Simplify right side
   1,453.50x = 1,670,094.17
5. Step 5: Solve for x
   x = 1,670,094.17/1,453.50
6. Step 6: Final answer
   x = 1,149.02