Finding the Fourth Proportional to 10,513.32, 14,507.86 and 5,975.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.32 : 14,507.86 = 5,975.40 : x
2. Step 2: Convert to fraction form
   10,513.32/14,507.86 = 5,975.40/x
3. Step 3: Cross multiply
   10,513.32x = 14,507.86 × 5,975.40
4. Step 4: Simplify right side
   10,513.32x = 86,690,266.64
5. Step 5: Solve for x
   x = 86,690,266.64/10,513.32
6. Step 6: Final answer
   x = 8,245.76