Finding the Fourth Proportional to 1,511.78, 2,085.98 and 922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,511.78 : 2,085.98 = 922.50 : x
2. Step 2: Convert to fraction form
   1,511.78/2,085.98 = 922.50/x
3. Step 3: Cross multiply
   1,511.78x = 2,085.98 × 922.50
4. Step 4: Simplify right side
   1,511.78x = 1,924,316.55
5. Step 5: Solve for x
   x = 1,924,316.55/1,511.78
6. Step 6: Final answer
   x = 1,272.88