Finding the Fourth Proportional to 9,300.02, 12,830.32 and 5,941.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,300.02 : 12,830.32 = 5,941.97 : x
2. Step 2: Convert to fraction form
   9,300.02/12,830.32 = 5,941.97/x
3. Step 3: Cross multiply
   9,300.02x = 12,830.32 × 5,941.97
4. Step 4: Simplify right side
   9,300.02x = 76,237,376.53
5. Step 5: Solve for x
   x = 76,237,376.53/9,300.02
6. Step 6: Final answer
   x = 8,197.55