Finding the Fourth Proportional to 5,663.46, 7,814.72 and 3,178.98

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.46 : 7,814.72 = 3,178.98 : x
2. Step 2: Convert to fraction form
   5,663.46/7,814.72 = 3,178.98/x
3. Step 3: Cross multiply
   5,663.46x = 7,814.72 × 3,178.98
4. Step 4: Simplify right side
   5,663.46x = 24,842,838.59
5. Step 5: Solve for x
   x = 24,842,838.59/5,663.46
6. Step 6: Final answer
   x = 4,386.51