Finding the Fourth Proportional to 5,114.63, 7,667.78 and 1,602.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,114.63 : 7,667.78 = 1,602.83 : x
2. Step 2: Convert to fraction form
   5,114.63/7,667.78 = 1,602.83/x
3. Step 3: Cross multiply
   5,114.63x = 7,667.78 × 1,602.83
4. Step 4: Simplify right side
   5,114.63x = 12,290,147.82
5. Step 5: Solve for x
   x = 12,290,147.82/5,114.63
6. Step 6: Final answer
   x = 2,402.94