Finding the Fourth Proportional to 1,538.48, 2,123.16 and 839.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.48 : 2,123.16 = 839.86 : x
2. Step 2: Convert to fraction form
   1,538.48/2,123.16 = 839.86/x
3. Step 3: Cross multiply
   1,538.48x = 2,123.16 × 839.86
4. Step 4: Simplify right side
   1,538.48x = 1,783,151.85
5. Step 5: Solve for x
   x = 1,783,151.85/1,538.48
6. Step 6: Final answer
   x = 1,159.03