Finding the Fourth Proportional to 9,656.52, 13,326.26 and 5,465

Step by Step Solution

1. Step 1: Write the proportion equation
   9,656.52 : 13,326.26 = 5,465 : x
2. Step 2: Convert to fraction form
   9,656.52/13,326.26 = 5,465/x
3. Step 3: Cross multiply
   9,656.52x = 13,326.26 × 5,465
4. Step 4: Simplify right side
   9,656.52x = 72,828,010.90
5. Step 5: Solve for x
   x = 72,828,010.90/9,656.52
6. Step 6: Final answer
   x = 7,541.85