Finding the Fourth Proportional to 1,538.34, 2,122.86 and 839.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.34 : 2,122.86 = 839.72 : x
2. Step 2: Convert to fraction form
   1,538.34/2,122.86 = 839.72/x
3. Step 3: Cross multiply
   1,538.34x = 2,122.86 × 839.72
4. Step 4: Simplify right side
   1,538.34x = 1,782,608.00
5. Step 5: Solve for x
   x = 1,782,608.00/1,538.34
6. Step 6: Final answer
   x = 1,158.79