Finding the Fourth Proportional to 10,538.16, 14,542.74 and 5,822.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.16 : 14,542.74 = 5,822.34 : x
2. Step 2: Convert to fraction form
   10,538.16/14,542.74 = 5,822.34/x
3. Step 3: Cross multiply
   10,538.16x = 14,542.74 × 5,822.34
4. Step 4: Simplify right side
   10,538.16x = 84,672,776.81
5. Step 5: Solve for x
   x = 84,672,776.81/10,538.16
6. Step 6: Final answer
   x = 8,034.87