Finding the Fourth Proportional to 31,827.98, 47,742.10 and 10,768.18

Step by Step Solution

1. Step 1: Write the proportion equation
   31,827.98 : 47,742.10 = 10,768.18 : x
2. Step 2: Convert to fraction form
   31,827.98/47,742.10 = 10,768.18/x
3. Step 3: Cross multiply
   31,827.98x = 47,742.10 × 10,768.18
4. Step 4: Simplify right side
   31,827.98x = 514,095,526.38
5. Step 5: Solve for x
   x = 514,095,526.38/31,827.98
6. Step 6: Final answer
   x = 16,152.31