Finding the Fourth Proportional to 9,916.84, 13,686.10 and 5,441.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,916.84 : 13,686.10 = 5,441.46 : x
2. Step 2: Convert to fraction form
   9,916.84/13,686.10 = 5,441.46/x
3. Step 3: Cross multiply
   9,916.84x = 13,686.10 × 5,441.46
4. Step 4: Simplify right side
   9,916.84x = 74,472,423.83
5. Step 5: Solve for x
   x = 74,472,423.83/9,916.84
6. Step 6: Final answer
   x = 7,509.69