Finding the Fourth Proportional to 10,543.41, 14,548.82 and 5,827.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.41 : 14,548.82 = 5,827.05 : x
2. Step 2: Convert to fraction form
   10,543.41/14,548.82 = 5,827.05/x
3. Step 3: Cross multiply
   10,543.41x = 14,548.82 × 5,827.05
4. Step 4: Simplify right side
   10,543.41x = 84,776,672.45
5. Step 5: Solve for x
   x = 84,776,672.45/10,543.41
6. Step 6: Final answer
   x = 8,040.73