Finding the Fourth Proportional to 9,637.86, 13,300.35 and 5,659.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,637.86 : 13,300.35 = 5,659.02 : x
2. Step 2: Convert to fraction form
   9,637.86/13,300.35 = 5,659.02/x
3. Step 3: Cross multiply
   9,637.86x = 13,300.35 × 5,659.02
4. Step 4: Simplify right side
   9,637.86x = 75,266,946.66
5. Step 5: Solve for x
   x = 75,266,946.66/9,637.86
6. Step 6: Final answer
   x = 7,809.51