Finding the Fourth Proportional to 6,830.94, 9,431.06 and 5,575.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6,830.94 : 9,431.06 = 5,575.00 : x
2. Step 2: Convert to fraction form
   6,830.94/9,431.06 = 5,575.00/x
3. Step 3: Cross multiply
   6,830.94x = 9,431.06 × 5,575.00
4. Step 4: Simplify right side
   6,830.94x = 52,578,114.89
5. Step 5: Solve for x
   x = 52,578,114.89/6,830.94
6. Step 6: Final answer
   x = 7,697.05