Finding the Fourth Proportional to 9,852.12, 13,594.50 and 5,659.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852.12 : 13,594.50 = 5,659.56 : x
2. Step 2: Convert to fraction form
   9,852.12/13,594.50 = 5,659.56/x
3. Step 3: Cross multiply
   9,852.12x = 13,594.50 × 5,659.56
4. Step 4: Simplify right side
   9,852.12x = 76,938,888.42
5. Step 5: Solve for x
   x = 76,938,888.42/9,852.12
6. Step 6: Final answer
   x = 7,809.37