Finding the Fourth Proportional to 9,916.56, 13,684.86 and 5,724.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,916.56 : 13,684.86 = 5,724.82 : x
2. Step 2: Convert to fraction form
   9,916.56/13,684.86 = 5,724.82/x
3. Step 3: Cross multiply
   9,916.56x = 13,684.86 × 5,724.82
4. Step 4: Simplify right side
   9,916.56x = 78,343,360.23
5. Step 5: Solve for x
   x = 78,343,360.23/9,916.56
6. Step 6: Final answer
   x = 7,900.26