Finding the Fourth Proportional to 9,938.56, 13,713.60 and 5,746

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.56 : 13,713.60 = 5,746 : x
2. Step 2: Convert to fraction form
   9,938.56/13,713.60 = 5,746/x
3. Step 3: Cross multiply
   9,938.56x = 13,713.60 × 5,746
4. Step 4: Simplify right side
   9,938.56x = 78,798,345.60
5. Step 5: Solve for x
   x = 78,798,345.60/9,938.56
6. Step 6: Final answer
   x = 7,928.55