Finding the Fourth Proportional to 9,925.37, 13,698.09 and 5,676.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,925.37 : 13,698.09 = 5,676.83 : x
2. Step 2: Convert to fraction form
   9,925.37/13,698.09 = 5,676.83/x
3. Step 3: Cross multiply
   9,925.37x = 13,698.09 × 5,676.83
4. Step 4: Simplify right side
   9,925.37x = 77,761,659.76
5. Step 5: Solve for x
   x = 77,761,659.76/9,925.37
6. Step 6: Final answer
   x = 7,834.64