Finding the Fourth Proportional to 6,997.59, 9,656.48 and 3,810.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,997.59 : 9,656.48 = 3,810.82 : x
2. Step 2: Convert to fraction form
   6,997.59/9,656.48 = 3,810.82/x
3. Step 3: Cross multiply
   6,997.59x = 9,656.48 × 3,810.82
4. Step 4: Simplify right side
   6,997.59x = 36,799,085.35
5. Step 5: Solve for x
   x = 36,799,085.35/6,997.59
6. Step 6: Final answer
   x = 5,258.82