Finding the Fourth Proportional to 10,462.63, 14,437.83 and 5,746.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.63 : 14,437.83 = 5,746.81 : x
2. Step 2: Convert to fraction form
   10,462.63/14,437.83 = 5,746.81/x
3. Step 3: Cross multiply
   10,462.63x = 14,437.83 × 5,746.81
4. Step 4: Simplify right side
   10,462.63x = 82,971,465.82
5. Step 5: Solve for x
   x = 82,971,465.82/10,462.63
6. Step 6: Final answer
   x = 7,930.27