Finding the Fourth Proportional to 1,322.34, 1,823.61 and 849.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.34 : 1,823.61 = 849.78 : x
2. Step 2: Convert to fraction form
   1,322.34/1,823.61 = 849.78/x
3. Step 3: Cross multiply
   1,322.34x = 1,823.61 × 849.78
4. Step 4: Simplify right side
   1,322.34x = 1,549,667.31
5. Step 5: Solve for x
   x = 1,549,667.31/1,322.34
6. Step 6: Final answer
   x = 1,171.91