Finding the Fourth Proportional to 9,106.76, 12,569.30 and 5,381.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.76 : 12,569.30 = 5,381.32 : x
2. Step 2: Convert to fraction form
   9,106.76/12,569.30 = 5,381.32/x
3. Step 3: Cross multiply
   9,106.76x = 12,569.30 × 5,381.32
4. Step 4: Simplify right side
   9,106.76x = 67,639,425.48
5. Step 5: Solve for x
   x = 67,639,425.48/9,106.76
6. Step 6: Final answer
   x = 7,427.39