Finding the Fourth Proportional to 6,820.00, 9,410.83 and 3,835.77

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820.00 : 9,410.83 = 3,835.77 : x
2. Step 2: Convert to fraction form
   6,820.00/9,410.83 = 3,835.77/x
3. Step 3: Cross multiply
   6,820.00x = 9,410.83 × 3,835.77
4. Step 4: Simplify right side
   6,820.00x = 36,097,748.89
5. Step 5: Solve for x
   x = 36,097,748.89/6,820.00
6. Step 6: Final answer
   x = 5,292.93