Finding the Fourth Proportional to 9,513.86, 14,274.89 and 5,130.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,513.86 : 14,274.89 = 5,130.30 : x
2. Step 2: Convert to fraction form
   9,513.86/14,274.89 = 5,130.30/x
3. Step 3: Cross multiply
   9,513.86x = 14,274.89 × 5,130.30
4. Step 4: Simplify right side
   9,513.86x = 73,234,442.52
5. Step 5: Solve for x
   x = 73,234,442.52/9,513.86
6. Step 6: Final answer
   x = 7,697.66