Finding the Fourth Proportional to 9,700.32, 14,557.71 and 3,778.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,700.32 : 14,557.71 = 3,778.14 : x
2. Step 2: Convert to fraction form
   9,700.32/14,557.71 = 3,778.14/x
3. Step 3: Cross multiply
   9,700.32x = 14,557.71 × 3,778.14
4. Step 4: Simplify right side
   9,700.32x = 55,001,066.46
5. Step 5: Solve for x
   x = 55,001,066.46/9,700.32
6. Step 6: Final answer
   x = 5,670.03