Finding the Fourth Proportional to 9,566.62, 13,200.50 and 5,374.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.62 : 13,200.50 = 5,374.06 : x
2. Step 2: Convert to fraction form
   9,566.62/13,200.50 = 5,374.06/x
3. Step 3: Cross multiply
   9,566.62x = 13,200.50 × 5,374.06
4. Step 4: Simplify right side
   9,566.62x = 70,940,279.03
5. Step 5: Solve for x
   x = 70,940,279.03/9,566.62
6. Step 6: Final answer
   x = 7,415.40