Finding the Fourth Proportional to 10,541.96, 14,548.82 and 5,827.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.96 : 14,548.82 = 5,827.15 : x
2. Step 2: Convert to fraction form
   10,541.96/14,548.82 = 5,827.15/x
3. Step 3: Cross multiply
   10,541.96x = 14,548.82 × 5,827.15
4. Step 4: Simplify right side
   10,541.96x = 84,778,156.46
5. Step 5: Solve for x
   x = 84,778,156.46/10,541.96
6. Step 6: Final answer
   x = 8,041.97