Finding the Fourth Proportional to 14,434.50, 19,919.61 and 7,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,434.50 : 19,919.61 = 7,810.50 : x
2. Step 2: Convert to fraction form
   14,434.50/19,919.61 = 7,810.50/x
3. Step 3: Cross multiply
   14,434.50x = 19,919.61 × 7,810.50
4. Step 4: Simplify right side
   14,434.50x = 155,582,113.91
5. Step 5: Solve for x
   x = 155,582,113.91/14,434.50
6. Step 6: Final answer
   x = 10,778.49