Finding the Fourth Proportional to 9,700.42, 14,557.87 and 3,778.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,700.42 : 14,557.87 = 3,778.24 : x
2. Step 2: Convert to fraction form
   9,700.42/14,557.87 = 3,778.24/x
3. Step 3: Cross multiply
   9,700.42x = 14,557.87 × 3,778.24
4. Step 4: Simplify right side
   9,700.42x = 55,003,126.75
5. Step 5: Solve for x
   x = 55,003,126.75/9,700.42
6. Step 6: Final answer
   x = 5,670.18