Finding the Fourth Proportional to 9,814.74, 14,731.38 and 3,580.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.74 : 14,731.38 = 3,580.78 : x
2. Step 2: Convert to fraction form
   9,814.74/14,731.38 = 3,580.78/x
3. Step 3: Cross multiply
   9,814.74x = 14,731.38 × 3,580.78
4. Step 4: Simplify right side
   9,814.74x = 52,749,830.88
5. Step 5: Solve for x
   x = 52,749,830.88/9,814.74
6. Step 6: Final answer
   x = 5,374.55