Finding the Fourth Proportional to 9,695.33, 14,547.32 and 5,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,695.33 : 14,547.32 = 5,077.25 : x
2. Step 2: Convert to fraction form
   9,695.33/14,547.32 = 5,077.25/x
3. Step 3: Cross multiply
   9,695.33x = 14,547.32 × 5,077.25
4. Step 4: Simplify right side
   9,695.33x = 73,860,380.47
5. Step 5: Solve for x
   x = 73,860,380.47/9,695.33
6. Step 6: Final answer
   x = 7,618.14