Finding the Fourth Proportional to 10,126.84, 13,978.42 and 5,935

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.84 : 13,978.42 = 5,935 : x
2. Step 2: Convert to fraction form
   10,126.84/13,978.42 = 5,935/x
3. Step 3: Cross multiply
   10,126.84x = 13,978.42 × 5,935
4. Step 4: Simplify right side
   10,126.84x = 82,961,922.70
5. Step 5: Solve for x
   x = 82,961,922.70/10,126.84
6. Step 6: Final answer
   x = 8,192.28