Finding the Fourth Proportional to 10,464.84, 15,699.02 and 5,200.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.84 : 15,699.02 = 5,200.11 : x
2. Step 2: Convert to fraction form
   10,464.84/15,699.02 = 5,200.11/x
3. Step 3: Cross multiply
   10,464.84x = 15,699.02 × 5,200.11
4. Step 4: Simplify right side
   10,464.84x = 81,636,604.89
5. Step 5: Solve for x
   x = 81,636,604.89/10,464.84
6. Step 6: Final answer
   x = 7,801.04