Finding the Fourth Proportional to 1,566.76, 2,162.12 and 977.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.76 : 2,162.12 = 977.29 : x
2. Step 2: Convert to fraction form
   1,566.76/2,162.12 = 977.29/x
3. Step 3: Cross multiply
   1,566.76x = 2,162.12 × 977.29
4. Step 4: Simplify right side
   1,566.76x = 2,113,018.25
5. Step 5: Solve for x
   x = 2,113,018.25/1,566.76
6. Step 6: Final answer
   x = 1,348.65