Finding the Fourth Proportional to 10,160, 14,026.56 and 7,671.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160 : 14,026.56 = 7,671.68 : x
2. Step 2: Convert to fraction form
   10,160/14,026.56 = 7,671.68/x
3. Step 3: Cross multiply
   10,160x = 14,026.56 × 7,671.68
4. Step 4: Simplify right side
   10,160x = 107,607,279.82
5. Step 5: Solve for x
   x = 107,607,279.82/10,160
6. Step 6: Final answer
   x = 10,591.27