Finding the Fourth Proportional to 9,643.64, 13,312.58 and 5,665.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.64 : 13,312.58 = 5,665.01 : x
2. Step 2: Convert to fraction form
   9,643.64/13,312.58 = 5,665.01/x
3. Step 3: Cross multiply
   9,643.64x = 13,312.58 × 5,665.01
4. Step 4: Simplify right side
   9,643.64x = 75,415,803.94
5. Step 5: Solve for x
   x = 75,415,803.94/9,643.64
6. Step 6: Final answer
   x = 7,820.27