Finding the Fourth Proportional to 1,933.86, 2,898.71 and 823.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,933.86 : 2,898.71 = 823.86 : x
2. Step 2: Convert to fraction form
   1,933.86/2,898.71 = 823.86/x
3. Step 3: Cross multiply
   1,933.86x = 2,898.71 × 823.86
4. Step 4: Simplify right side
   1,933.86x = 2,388,127.10
5. Step 5: Solve for x
   x = 2,388,127.10/1,933.86
6. Step 6: Final answer
   x = 1,234.90