Finding the Fourth Proportional to 14,101.14, 19,459.59 and 7,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,101.14 : 19,459.59 = 7,813.50 : x
2. Step 2: Convert to fraction form
   14,101.14/19,459.59 = 7,813.50/x
3. Step 3: Cross multiply
   14,101.14x = 19,459.59 × 7,813.50
4. Step 4: Simplify right side
   14,101.14x = 152,047,506.47
5. Step 5: Solve for x
   x = 152,047,506.47/14,101.14
6. Step 6: Final answer
   x = 10,782.64