Finding the Fourth Proportional to 1,412.04, 1,948.14 and 822.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.04 : 1,948.14 = 822.10 : x
2. Step 2: Convert to fraction form
   1,412.04/1,948.14 = 822.10/x
3. Step 3: Cross multiply
   1,412.04x = 1,948.14 × 822.10
4. Step 4: Simplify right side
   1,412.04x = 1,601,565.89
5. Step 5: Solve for x
   x = 1,601,565.89/1,412.04
6. Step 6: Final answer
   x = 1,134.22