Finding the Fourth Proportional to 14,426.50, 19,908.63 and 7,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,426.50 : 19,908.63 = 7,802.50 : x
2. Step 2: Convert to fraction form
   14,426.50/19,908.63 = 7,802.50/x
3. Step 3: Cross multiply
   14,426.50x = 19,908.63 × 7,802.50
4. Step 4: Simplify right side
   14,426.50x = 155,337,085.58
5. Step 5: Solve for x
   x = 155,337,085.58/14,426.50
6. Step 6: Final answer
   x = 10,767.48