Finding the Fourth Proportional to 9,301.57, 12,836.16 and 5,109.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,301.57 : 12,836.16 = 5,109.82 : x
2. Step 2: Convert to fraction form
   9,301.57/12,836.16 = 5,109.82/x
3. Step 3: Cross multiply
   9,301.57x = 12,836.16 × 5,109.82
4. Step 4: Simplify right side
   9,301.57x = 65,590,402.91
5. Step 5: Solve for x
   x = 65,590,402.91/9,301.57
6. Step 6: Final answer
   x = 7,051.54