Finding the Fourth Proportional to 7,111.82, 9,814.41 and 3,925.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,111.82 : 9,814.41 = 3,925.06 : x
2. Step 2: Convert to fraction form
   7,111.82/9,814.41 = 3,925.06/x
3. Step 3: Cross multiply
   7,111.82x = 9,814.41 × 3,925.06
4. Step 4: Simplify right side
   7,111.82x = 38,522,123.58
5. Step 5: Solve for x
   x = 38,522,123.58/7,111.82
6. Step 6: Final answer
   x = 5,416.63