Finding the Fourth Proportional to 10,558.53, 14,570.62 and 5,778.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,558.53 : 14,570.62 = 5,778.36 : x
2. Step 2: Convert to fraction form
   10,558.53/14,570.62 = 5,778.36/x
3. Step 3: Cross multiply
   10,558.53x = 14,570.62 × 5,778.36
4. Step 4: Simplify right side
   10,558.53x = 84,194,273.34
5. Step 5: Solve for x
   x = 84,194,273.34/10,558.53
6. Step 6: Final answer
   x = 7,974.05