Finding the Fourth Proportional to 9,825.10, 13,575.90 and 7,851.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.10 : 13,575.90 = 7,851.94 : x
2. Step 2: Convert to fraction form
   9,825.10/13,575.90 = 7,851.94/x
3. Step 3: Cross multiply
   9,825.10x = 13,575.90 × 7,851.94
4. Step 4: Simplify right side
   9,825.10x = 106,597,152.25
5. Step 5: Solve for x
   x = 106,597,152.25/9,825.10
6. Step 6: Final answer
   x = 10,849.47