Finding the Fourth Proportional to 9,406.74, 12,980.76 and 5,156.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.74 : 12,980.76 = 5,156.98 : x
2. Step 2: Convert to fraction form
   9,406.74/12,980.76 = 5,156.98/x
3. Step 3: Cross multiply
   9,406.74x = 12,980.76 × 5,156.98
4. Step 4: Simplify right side
   9,406.74x = 66,941,519.70
5. Step 5: Solve for x
   x = 66,941,519.70/9,406.74
6. Step 6: Final answer
   x = 7,116.34