Finding the Fourth Proportional to 9,913.69, 13,680.80 and 5,437.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,913.69 : 13,680.80 = 5,437.46 : x
2. Step 2: Convert to fraction form
   9,913.69/13,680.80 = 5,437.46/x
3. Step 3: Cross multiply
   9,913.69x = 13,680.80 × 5,437.46
4. Step 4: Simplify right side
   9,913.69x = 74,388,740.82
5. Step 5: Solve for x
   x = 74,388,740.82/9,913.69
6. Step 6: Final answer
   x = 7,503.64