Finding the Fourth Proportional to 10,559, 15,836.78 and 3,542.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,559 : 15,836.78 = 3,542.12 : x
2. Step 2: Convert to fraction form
   10,559/15,836.78 = 3,542.12/x
3. Step 3: Cross multiply
   10,559x = 15,836.78 × 3,542.12
4. Step 4: Simplify right side
   10,559x = 56,095,775.17
5. Step 5: Solve for x
   x = 56,095,775.17/10,559
6. Step 6: Final answer
   x = 5,312.60