Finding the Fourth Proportional to 1,536.72, 2,121.06 and 977.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.72 : 2,121.06 = 977.46 : x
2. Step 2: Convert to fraction form
   1,536.72/2,121.06 = 977.46/x
3. Step 3: Cross multiply
   1,536.72x = 2,121.06 × 977.46
4. Step 4: Simplify right side
   1,536.72x = 2,073,251.31
5. Step 5: Solve for x
   x = 2,073,251.31/1,536.72
6. Step 6: Final answer
   x = 1,349.14