Finding the Fourth Proportional to 9,300.01, 12,827.64 and 5,941.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,300.01 : 12,827.64 = 5,941.33 : x
2. Step 2: Convert to fraction form
   9,300.01/12,827.64 = 5,941.33/x
3. Step 3: Cross multiply
   9,300.01x = 12,827.64 × 5,941.33
4. Step 4: Simplify right side
   9,300.01x = 76,213,288.02
5. Step 5: Solve for x
   x = 76,213,288.02/9,300.01
6. Step 6: Final answer
   x = 8,194.97