Finding the Fourth Proportional to 2,656.61, 3,985.50 and 782.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.61 : 3,985.50 = 782.55 : x
2. Step 2: Convert to fraction form
   2,656.61/3,985.50 = 782.55/x
3. Step 3: Cross multiply
   2,656.61x = 3,985.50 × 782.55
4. Step 4: Simplify right side
   2,656.61x = 3,118,853.03
5. Step 5: Solve for x
   x = 3,118,853.03/2,656.61
6. Step 6: Final answer
   x = 1,174.00