Finding the Fourth Proportional to 9,377.76, 12,941.06 and 5,128.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,377.76 : 12,941.06 = 5,128.71 : x
2. Step 2: Convert to fraction form
   9,377.76/12,941.06 = 5,128.71/x
3. Step 3: Cross multiply
   9,377.76x = 12,941.06 × 5,128.71
4. Step 4: Simplify right side
   9,377.76x = 66,370,943.83
5. Step 5: Solve for x
   x = 66,370,943.83/9,377.76
6. Step 6: Final answer
   x = 7,077.48