Finding the Fourth Proportional to 9,566.57, 13,201.80 and 5,374.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.57 : 13,201.80 = 5,374.82 : x
2. Step 2: Convert to fraction form
   9,566.57/13,201.80 = 5,374.82/x
3. Step 3: Cross multiply
   9,566.57x = 13,201.80 × 5,374.82
4. Step 4: Simplify right side
   9,566.57x = 70,957,298.68
5. Step 5: Solve for x
   x = 70,957,298.68/9,566.57
6. Step 6: Final answer
   x = 7,417.21