Finding the Fourth Proportional to 10,513.78, 14,509.05 and 5,798.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.78 : 14,509.05 = 5,798.02 : x
2. Step 2: Convert to fraction form
   10,513.78/14,509.05 = 5,798.02/x
3. Step 3: Cross multiply
   10,513.78x = 14,509.05 × 5,798.02
4. Step 4: Simplify right side
   10,513.78x = 84,123,762.08
5. Step 5: Solve for x
   x = 84,123,762.08/10,513.78
6. Step 6: Final answer
   x = 8,001.29