Finding the Fourth Proportional to 2,709.47, 4,061.76 and 977.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,709.47 : 4,061.76 = 977.69 : x
2. Step 2: Convert to fraction form
   2,709.47/4,061.76 = 977.69/x
3. Step 3: Cross multiply
   2,709.47x = 4,061.76 × 977.69
4. Step 4: Simplify right side
   2,709.47x = 3,971,142.13
5. Step 5: Solve for x
   x = 3,971,142.13/2,709.47
6. Step 6: Final answer
   x = 1,465.65