Finding the Fourth Proportional to 9,970.95, 13,765.50 and 7,842.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.95 : 13,765.50 = 7,842.27 : x
2. Step 2: Convert to fraction form
   9,970.95/13,765.50 = 7,842.27/x
3. Step 3: Cross multiply
   9,970.95x = 13,765.50 × 7,842.27
4. Step 4: Simplify right side
   9,970.95x = 107,952,767.69
5. Step 5: Solve for x
   x = 107,952,767.69/9,970.95
6. Step 6: Final answer
   x = 10,826.73