Finding the Fourth Proportional to 37,677, 51,988.20 and 21,758.40

Step by Step Solution

1. Step 1: Write the proportion equation
   37,677 : 51,988.20 = 21,758.40 : x
2. Step 2: Convert to fraction form
   37,677/51,988.20 = 21,758.40/x
3. Step 3: Cross multiply
   37,677x = 51,988.20 × 21,758.40
4. Step 4: Simplify right side
   37,677x = 1,131,180,050.88
5. Step 5: Solve for x
   x = 1,131,180,050.88/37,677
6. Step 6: Final answer
   x = 30,023.09