Finding the Fourth Proportional to 9,965.07, 14,947.05 and 2,569.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,965.07 : 14,947.05 = 2,569.89 : x
2. Step 2: Convert to fraction form
   9,965.07/14,947.05 = 2,569.89/x
3. Step 3: Cross multiply
   9,965.07x = 14,947.05 × 2,569.89
4. Step 4: Simplify right side
   9,965.07x = 38,412,274.32
5. Step 5: Solve for x
   x = 38,412,274.32/9,965.07
6. Step 6: Final answer
   x = 3,854.69