Finding the Fourth Proportional to 12,946.06, 17,858.28 and 7,770.61

Step by Step Solution

1. Step 1: Write the proportion equation
   12,946.06 : 17,858.28 = 7,770.61 : x
2. Step 2: Convert to fraction form
   12,946.06/17,858.28 = 7,770.61/x
3. Step 3: Cross multiply
   12,946.06x = 17,858.28 × 7,770.61
4. Step 4: Simplify right side
   12,946.06x = 138,769,729.15
5. Step 5: Solve for x
   x = 138,769,729.15/12,946.06
6. Step 6: Final answer
   x = 10,719.07