Finding the Fourth Proportional to 10,535.41, 14,538.74 and 5,755.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.41 : 14,538.74 = 5,755.30 : x
2. Step 2: Convert to fraction form
   10,535.41/14,538.74 = 5,755.30/x
3. Step 3: Cross multiply
   10,535.41x = 14,538.74 × 5,755.30
4. Step 4: Simplify right side
   10,535.41x = 83,674,810.32
5. Step 5: Solve for x
   x = 83,674,810.32/10,535.41
6. Step 6: Final answer
   x = 7,942.25