Finding the Fourth Proportional to 9,693.64, 14,548.74 and 3,854.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,693.64 : 14,548.74 = 3,854.35 : x
2. Step 2: Convert to fraction form
   9,693.64/14,548.74 = 3,854.35/x
3. Step 3: Cross multiply
   9,693.64x = 14,548.74 × 3,854.35
4. Step 4: Simplify right side
   9,693.64x = 56,075,936.02
5. Step 5: Solve for x
   x = 56,075,936.02/9,693.64
6. Step 6: Final answer
   x = 5,784.82