Finding the Fourth Proportional to 10,460.88, 14,436.90 and 5,746.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.88 : 14,436.90 = 5,746.14 : x
2. Step 2: Convert to fraction form
   10,460.88/14,436.90 = 5,746.14/x
3. Step 3: Cross multiply
   10,460.88x = 14,436.90 × 5,746.14
4. Step 4: Simplify right side
   10,460.88x = 82,956,448.57
5. Step 5: Solve for x
   x = 82,956,448.57/10,460.88
6. Step 6: Final answer
   x = 7,930.16