Finding the Fourth Proportional to 10,130.18, 15,200.61 and 5,199.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,130.18 : 15,200.61 = 5,199.83 : x
2. Step 2: Convert to fraction form
   10,130.18/15,200.61 = 5,199.83/x
3. Step 3: Cross multiply
   10,130.18x = 15,200.61 × 5,199.83
4. Step 4: Simplify right side
   10,130.18x = 79,040,485.89
5. Step 5: Solve for x
   x = 79,040,485.89/10,130.18
6. Step 6: Final answer
   x = 7,802.48