Finding the Fourth Proportional to 14,426, 19,907.88 and 7,802

Step by Step Solution

1. Step 1: Write the proportion equation
   14,426 : 19,907.88 = 7,802 : x
2. Step 2: Convert to fraction form
   14,426/19,907.88 = 7,802/x
3. Step 3: Cross multiply
   14,426x = 19,907.88 × 7,802
4. Step 4: Simplify right side
   14,426x = 155,321,279.76
5. Step 5: Solve for x
   x = 155,321,279.76/14,426
6. Step 6: Final answer
   x = 10,766.76