Finding the Fourth Proportional to 9,852.06, 13,594.32 and 5,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852.06 : 13,594.32 = 5,659.50 : x
2. Step 2: Convert to fraction form
   9,852.06/13,594.32 = 5,659.50/x
3. Step 3: Cross multiply
   9,852.06x = 13,594.32 × 5,659.50
4. Step 4: Simplify right side
   9,852.06x = 76,937,054.04
5. Step 5: Solve for x
   x = 76,937,054.04/9,852.06
6. Step 6: Final answer
   x = 7,809.24