Finding the Fourth Proportional to 21,270.78, 31,906.17 and 5,688

Step by Step Solution

1. Step 1: Write the proportion equation
   21,270.78 : 31,906.17 = 5,688 : x
2. Step 2: Convert to fraction form
   21,270.78/31,906.17 = 5,688/x
3. Step 3: Cross multiply
   21,270.78x = 31,906.17 × 5,688
4. Step 4: Simplify right side
   21,270.78x = 181,482,294.96
5. Step 5: Solve for x
   x = 181,482,294.96/21,270.78
6. Step 6: Final answer
   x = 8,532