Finding the Fourth Proportional to 7,374.24, 10,164.56 and 5,778.16

Step by Step Solution

1. Step 1: Write the proportion equation
   7,374.24 : 10,164.56 = 5,778.16 : x
2. Step 2: Convert to fraction form
   7,374.24/10,164.56 = 5,778.16/x
3. Step 3: Cross multiply
   7,374.24x = 10,164.56 × 5,778.16
4. Step 4: Simplify right side
   7,374.24x = 58,732,454.01
5. Step 5: Solve for x
   x = 58,732,454.01/7,374.24
6. Step 6: Final answer
   x = 7,964.54