Finding the Fourth Proportional to 9,586.45, 14,381.29 and 5,434.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586.45 : 14,381.29 = 5,434.59 : x
2. Step 2: Convert to fraction form
   9,586.45/14,381.29 = 5,434.59/x
3. Step 3: Cross multiply
   9,586.45x = 14,381.29 × 5,434.59
4. Step 4: Simplify right side
   9,586.45x = 78,156,414.82
5. Step 5: Solve for x
   x = 78,156,414.82/9,586.45
6. Step 6: Final answer
   x = 8,152.80