Finding the Fourth Proportional to 9,407.82, 12,980.86 and 5,374.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,407.82 : 12,980.86 = 5,374.42 : x
2. Step 2: Convert to fraction form
   9,407.82/12,980.86 = 5,374.42/x
3. Step 3: Cross multiply
   9,407.82x = 12,980.86 × 5,374.42
4. Step 4: Simplify right side
   9,407.82x = 69,764,593.60
5. Step 5: Solve for x
   x = 69,764,593.60/9,407.82
6. Step 6: Final answer
   x = 7,415.60