Finding the Fourth Proportional to 9,566.31, 13,201.47 and 5,374.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.31 : 13,201.47 = 5,374.56 : x
2. Step 2: Convert to fraction form
   9,566.31/13,201.47 = 5,374.56/x
3. Step 3: Cross multiply
   9,566.31x = 13,201.47 × 5,374.56
4. Step 4: Simplify right side
   9,566.31x = 70,952,092.60
5. Step 5: Solve for x
   x = 70,952,092.60/9,566.31
6. Step 6: Final answer
   x = 7,416.87