Finding the Fourth Proportional to 10,590.48, 14,614.61 and 5,810.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.48 : 14,614.61 = 5,810.40 : x
2. Step 2: Convert to fraction form
   10,590.48/14,614.61 = 5,810.40/x
3. Step 3: Cross multiply
   10,590.48x = 14,614.61 × 5,810.40
4. Step 4: Simplify right side
   10,590.48x = 84,916,700.89
5. Step 5: Solve for x
   x = 84,916,700.89/10,590.48
6. Step 6: Final answer
   x = 8,018.21