Finding the Fourth Proportional to 1,461.34, 2,016.57 and 832.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.34 : 2,016.57 = 832.02 : x
2. Step 2: Convert to fraction form
   1,461.34/2,016.57 = 832.02/x
3. Step 3: Cross multiply
   1,461.34x = 2,016.57 × 832.02
4. Step 4: Simplify right side
   1,461.34x = 1,677,824.49
5. Step 5: Solve for x
   x = 1,677,824.49/1,461.34
6. Step 6: Final answer
   x = 1,148.14