Finding the Fourth Proportional to 9,259.69, 13,883.35 and 5,101.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,259.69 : 13,883.35 = 5,101.69 : x
2. Step 2: Convert to fraction form
   9,259.69/13,883.35 = 5,101.69/x
3. Step 3: Cross multiply
   9,259.69x = 13,883.35 × 5,101.69
4. Step 4: Simplify right side
   9,259.69x = 70,828,547.86
5. Step 5: Solve for x
   x = 70,828,547.86/9,259.69
6. Step 6: Final answer
   x = 7,649.13