Finding the Fourth Proportional to 9,381.63, 12,946.89 and 5,655.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,381.63 : 12,946.89 = 5,655.87 : x
2. Step 2: Convert to fraction form
   9,381.63/12,946.89 = 5,655.87/x
3. Step 3: Cross multiply
   9,381.63x = 12,946.89 × 5,655.87
4. Step 4: Simplify right side
   9,381.63x = 73,225,833.73
5. Step 5: Solve for x
   x = 73,225,833.73/9,381.63
6. Step 6: Final answer
   x = 7,805.24