Finding the Fourth Proportional to 5,476.57, 8,213.71 and 1,580.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,476.57 : 8,213.71 = 1,580.06 : x
2. Step 2: Convert to fraction form
   5,476.57/8,213.71 = 1,580.06/x
3. Step 3: Cross multiply
   5,476.57x = 8,213.71 × 1,580.06
4. Step 4: Simplify right side
   5,476.57x = 12,978,174.17
5. Step 5: Solve for x
   x = 12,978,174.17/5,476.57
6. Step 6: Final answer
   x = 2,369.76