Finding the Fourth Proportional to 9,385.96, 14,075.35 and 3,836.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.96 : 14,075.35 = 3,836.32 : x
2. Step 2: Convert to fraction form
   9,385.96/14,075.35 = 3,836.32/x
3. Step 3: Cross multiply
   9,385.96x = 14,075.35 × 3,836.32
4. Step 4: Simplify right side
   9,385.96x = 53,997,546.71
5. Step 5: Solve for x
   x = 53,997,546.71/9,385.96
6. Step 6: Final answer
   x = 5,753.01