Finding the Fourth Proportional to 9,700.08, 13,385.53 and 5,666.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,700.08 : 13,385.53 = 5,666.43 : x
2. Step 2: Convert to fraction form
   9,700.08/13,385.53 = 5,666.43/x
3. Step 3: Cross multiply
   9,700.08x = 13,385.53 × 5,666.43
4. Step 4: Simplify right side
   9,700.08x = 75,848,168.76
5. Step 5: Solve for x
   x = 75,848,168.76/9,700.08
6. Step 6: Final answer
   x = 7,819.33