Finding the Fourth Proportional to 10,540.64, 14,546.27 and 5,824.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.64 : 14,546.27 = 5,824.96 : x
2. Step 2: Convert to fraction form
   10,540.64/14,546.27 = 5,824.96/x
3. Step 3: Cross multiply
   10,540.64x = 14,546.27 × 5,824.96
4. Step 4: Simplify right side
   10,540.64x = 84,731,440.90
5. Step 5: Solve for x
   x = 84,731,440.90/10,540.64
6. Step 6: Final answer
   x = 8,038.55