Finding the Fourth Proportional to 10,590.41, 14,614.63 and 5,745.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.41 : 14,614.63 = 5,745.07 : x
2. Step 2: Convert to fraction form
   10,590.41/14,614.63 = 5,745.07/x
3. Step 3: Cross multiply
   10,590.41x = 14,614.63 × 5,745.07
4. Step 4: Simplify right side
   10,590.41x = 83,962,043.02
5. Step 5: Solve for x
   x = 83,962,043.02/10,590.41
6. Step 6: Final answer
   x = 7,928.12