Finding the Fourth Proportional to 9,848.78, 13,591.22 and 5,657.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,848.78 : 13,591.22 = 5,657.06 : x
2. Step 2: Convert to fraction form
   9,848.78/13,591.22 = 5,657.06/x
3. Step 3: Cross multiply
   9,848.78x = 13,591.22 × 5,657.06
4. Step 4: Simplify right side
   9,848.78x = 76,886,347.01
5. Step 5: Solve for x
   x = 76,886,347.01/9,848.78
6. Step 6: Final answer
   x = 7,806.69