Finding the Fourth Proportional to 10,520.64, 14,513.31 and 9,770.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,520.64 : 14,513.31 = 9,770.40 : x
2. Step 2: Convert to fraction form
   10,520.64/14,513.31 = 9,770.40/x
3. Step 3: Cross multiply
   10,520.64x = 14,513.31 × 9,770.40
4. Step 4: Simplify right side
   10,520.64x = 141,800,844.02
5. Step 5: Solve for x
   x = 141,800,844.02/10,520.64
6. Step 6: Final answer
   x = 13,478.35