Finding the Fourth Proportional to 1,056.84, 1,457.97 and 820.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.84 : 1,457.97 = 820.86 : x
2. Step 2: Convert to fraction form
   1,056.84/1,457.97 = 820.86/x
3. Step 3: Cross multiply
   1,056.84x = 1,457.97 × 820.86
4. Step 4: Simplify right side
   1,056.84x = 1,196,789.25
5. Step 5: Solve for x
   x = 1,196,789.25/1,056.84
6. Step 6: Final answer
   x = 1,132.42