Finding the Fourth Proportional to 9,840.42, 14,762.52 and 3,178.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,840.42 : 14,762.52 = 3,178.70 : x
2. Step 2: Convert to fraction form
   9,840.42/14,762.52 = 3,178.70/x
3. Step 3: Cross multiply
   9,840.42x = 14,762.52 × 3,178.70
4. Step 4: Simplify right side
   9,840.42x = 46,925,622.32
5. Step 5: Solve for x
   x = 46,925,622.32/9,840.42
6. Step 6: Final answer
   x = 4,768.66