Finding the Fourth Proportional to 7,111.51, 10,657.09 and 5,222.58

Step by Step Solution

1. Step 1: Write the proportion equation
   7,111.51 : 10,657.09 = 5,222.58 : x
2. Step 2: Convert to fraction form
   7,111.51/10,657.09 = 5,222.58/x
3. Step 3: Cross multiply
   7,111.51x = 10,657.09 × 5,222.58
4. Step 4: Simplify right side
   7,111.51x = 55,657,521.41
5. Step 5: Solve for x
   x = 55,657,521.41/7,111.51
6. Step 6: Final answer
   x = 7,826.40