Finding the Fourth Proportional to 1,381.34, 1,905.76 and 821.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.34 : 1,905.76 = 821.82 : x
2. Step 2: Convert to fraction form
   1,381.34/1,905.76 = 821.82/x
3. Step 3: Cross multiply
   1,381.34x = 1,905.76 × 821.82
4. Step 4: Simplify right side
   1,381.34x = 1,566,191.68
5. Step 5: Solve for x
   x = 1,566,191.68/1,381.34
6. Step 6: Final answer
   x = 1,133.82