Finding the Fourth Proportional to 1,381.46, 1,906.87 and 822.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.46 : 1,906.87 = 822.10 : x
2. Step 2: Convert to fraction form
   1,381.46/1,906.87 = 822.10/x
3. Step 3: Cross multiply
   1,381.46x = 1,906.87 × 822.10
4. Step 4: Simplify right side
   1,381.46x = 1,567,633.81
5. Step 5: Solve for x
   x = 1,567,633.81/1,381.46
6. Step 6: Final answer
   x = 1,134.77