Finding the Fourth Proportional to 14,114.10, 19,478.61 and 7,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,114.10 : 19,478.61 = 7,828.50 : x
2. Step 2: Convert to fraction form
   14,114.10/19,478.61 = 7,828.50/x
3. Step 3: Cross multiply
   14,114.10x = 19,478.61 × 7,828.50
4. Step 4: Simplify right side
   14,114.10x = 152,488,298.39
5. Step 5: Solve for x
   x = 152,488,298.39/14,114.10
6. Step 6: Final answer
   x = 10,803.97