Finding the Fourth Proportional to 7,570.96, 10,442.33 and 5,213.86

Step by Step Solution

1. Step 1: Write the proportion equation
   7,570.96 : 10,442.33 = 5,213.86 : x
2. Step 2: Convert to fraction form
   7,570.96/10,442.33 = 5,213.86/x
3. Step 3: Cross multiply
   7,570.96x = 10,442.33 × 5,213.86
4. Step 4: Simplify right side
   7,570.96x = 54,444,846.69
5. Step 5: Solve for x
   x = 54,444,846.69/7,570.96
6. Step 6: Final answer
   x = 7,191.27