Finding the Fourth Proportional to 9,837.32, 13,573.96 and 5,644.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,837.32 : 13,573.96 = 5,644.76 : x
2. Step 2: Convert to fraction form
   9,837.32/13,573.96 = 5,644.76/x
3. Step 3: Cross multiply
   9,837.32x = 13,573.96 × 5,644.76
4. Step 4: Simplify right side
   9,837.32x = 76,621,746.45
5. Step 5: Solve for x
   x = 76,621,746.45/9,837.32
6. Step 6: Final answer
   x = 7,788.88