Finding the Fourth Proportional to 9,625.64, 14,434.82 and 3,779.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,625.64 : 14,434.82 = 3,779.06 : x
2. Step 2: Convert to fraction form
   9,625.64/14,434.82 = 3,779.06/x
3. Step 3: Cross multiply
   9,625.64x = 14,434.82 × 3,779.06
4. Step 4: Simplify right side
   9,625.64x = 54,550,068.06
5. Step 5: Solve for x
   x = 54,550,068.06/9,625.64
6. Step 6: Final answer
   x = 5,667.16