Finding the Fourth Proportional to 1,649.45, 2,472.01 and 784.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,649.45 : 2,472.01 = 784.01 : x
2. Step 2: Convert to fraction form
   1,649.45/2,472.01 = 784.01/x
3. Step 3: Cross multiply
   1,649.45x = 2,472.01 × 784.01
4. Step 4: Simplify right side
   1,649.45x = 1,938,080.56
5. Step 5: Solve for x
   x = 1,938,080.56/1,649.45
6. Step 6: Final answer
   x = 1,174.99