Finding the Fourth Proportional to 52,380.16, 78,478.56 and 35,686

Step by Step Solution

1. Step 1: Write the proportion equation
   52,380.16 : 78,478.56 = 35,686 : x
2. Step 2: Convert to fraction form
   52,380.16/78,478.56 = 35,686/x
3. Step 3: Cross multiply
   52,380.16x = 78,478.56 × 35,686
4. Step 4: Simplify right side
   52,380.16x = 2,800,585,892.16
5. Step 5: Solve for x
   x = 2,800,585,892.16/52,380.16
6. Step 6: Final answer
   x = 53,466.54