Finding the Fourth Proportional to 1,030.32, 1,421.82 and 820.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.32 : 1,421.82 = 820.14 : x
2. Step 2: Convert to fraction form
   1,030.32/1,421.82 = 820.14/x
3. Step 3: Cross multiply
   1,030.32x = 1,421.82 × 820.14
4. Step 4: Simplify right side
   1,030.32x = 1,166,091.45
5. Step 5: Solve for x
   x = 1,166,091.45/1,030.32
6. Step 6: Final answer
   x = 1,131.78