Finding the Fourth Proportional to 10,199.07, 14,074.83 and 5,662.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.07 : 14,074.83 = 5,662.06 : x
2. Step 2: Convert to fraction form
   10,199.07/14,074.83 = 5,662.06/x
3. Step 3: Cross multiply
   10,199.07x = 14,074.83 × 5,662.06
4. Step 4: Simplify right side
   10,199.07x = 79,692,496.76
5. Step 5: Solve for x
   x = 79,692,496.76/10,199.07
6. Step 6: Final answer
   x = 7,813.70