Finding the Fourth Proportional to 10,538.76, 14,543.48 and 5,823.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.76 : 14,543.48 = 5,823.34 : x
2. Step 2: Convert to fraction form
   10,538.76/14,543.48 = 5,823.34/x
3. Step 3: Cross multiply
   10,538.76x = 14,543.48 × 5,823.34
4. Step 4: Simplify right side
   10,538.76x = 84,691,628.82
5. Step 5: Solve for x
   x = 84,691,628.82/10,538.76
6. Step 6: Final answer
   x = 8,036.20