Finding the Fourth Proportional to 11,654.43, 16,083.86 and 6,938.07

Step by Step Solution

1. Step 1: Write the proportion equation
   11,654.43 : 16,083.86 = 6,938.07 : x
2. Step 2: Convert to fraction form
   11,654.43/16,083.86 = 6,938.07/x
3. Step 3: Cross multiply
   11,654.43x = 16,083.86 × 6,938.07
4. Step 4: Simplify right side
   11,654.43x = 111,590,946.55
5. Step 5: Solve for x
   x = 111,590,946.55/11,654.43
6. Step 6: Final answer
   x = 9,574.98