Finding the Fourth Proportional to 3,763.60, 5,194.72 and 2,506.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,763.60 : 5,194.72 = 2,506.76 : x
2. Step 2: Convert to fraction form
   3,763.60/5,194.72 = 2,506.76/x
3. Step 3: Cross multiply
   3,763.60x = 5,194.72 × 2,506.76
4. Step 4: Simplify right side
   3,763.60x = 13,021,916.31
5. Step 5: Solve for x
   x = 13,021,916.31/3,763.60
6. Step 6: Final answer
   x = 3,459.96