Finding the Fourth Proportional to 2,973.81, 4,460.78 and 782.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,973.81 : 4,460.78 = 782.55 : x
2. Step 2: Convert to fraction form
   2,973.81/4,460.78 = 782.55/x
3. Step 3: Cross multiply
   2,973.81x = 4,460.78 × 782.55
4. Step 4: Simplify right side
   2,973.81x = 3,490,779.48
5. Step 5: Solve for x
   x = 3,490,779.48/2,973.81
6. Step 6: Final answer
   x = 1,173.84