Finding the Fourth Proportional to 9,656.84, 13,326.72 and 5,465

Step by Step Solution

1. Step 1: Write the proportion equation
   9,656.84 : 13,326.72 = 5,465 : x
2. Step 2: Convert to fraction form
   9,656.84/13,326.72 = 5,465/x
3. Step 3: Cross multiply
   9,656.84x = 13,326.72 × 5,465
4. Step 4: Simplify right side
   9,656.84x = 72,830,524.80
5. Step 5: Solve for x
   x = 72,830,524.80/9,656.84
6. Step 6: Final answer
   x = 7,541.86