Finding the Fourth Proportional to 9,510.42, 14,265.59 and 2,584.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,510.42 : 14,265.59 = 2,584.90 : x
2. Step 2: Convert to fraction form
   9,510.42/14,265.59 = 2,584.90/x
3. Step 3: Cross multiply
   9,510.42x = 14,265.59 × 2,584.90
4. Step 4: Simplify right side
   9,510.42x = 36,875,123.59
5. Step 5: Solve for x
   x = 36,875,123.59/9,510.42
6. Step 6: Final answer
   x = 3,877.34