Finding the Fourth Proportional to 1,511.86, 2,085.78 and 922.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,511.86 : 2,085.78 = 922.30 : x
2. Step 2: Convert to fraction form
   1,511.86/2,085.78 = 922.30/x
3. Step 3: Cross multiply
   1,511.86x = 2,085.78 × 922.30
4. Step 4: Simplify right side
   1,511.86x = 1,923,714.89
5. Step 5: Solve for x
   x = 1,923,714.89/1,511.86
6. Step 6: Final answer
   x = 1,272.42