Finding the Fourth Proportional to 7,796.50, 10,762.41 and 5,558.74

Step by Step Solution

1. Step 1: Write the proportion equation
   7,796.50 : 10,762.41 = 5,558.74 : x
2. Step 2: Convert to fraction form
   7,796.50/10,762.41 = 5,558.74/x
3. Step 3: Cross multiply
   7,796.50x = 10,762.41 × 5,558.74
4. Step 4: Simplify right side
   7,796.50x = 59,825,438.96
5. Step 5: Solve for x
   x = 59,825,438.96/7,796.50
6. Step 6: Final answer
   x = 7,673.37