Finding the Fourth Proportional to 9,832.01, 13,566.63 and 5,639.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832.01 : 13,566.63 = 5,639.45 : x
2. Step 2: Convert to fraction form
   9,832.01/13,566.63 = 5,639.45/x
3. Step 3: Cross multiply
   9,832.01x = 13,566.63 × 5,639.45
4. Step 4: Simplify right side
   9,832.01x = 76,508,331.55
5. Step 5: Solve for x
   x = 76,508,331.55/9,832.01
6. Step 6: Final answer
   x = 7,781.56