Finding the Fourth Proportional to 82,778, 114,233.64 and 45,052.52

Step by Step Solution

1. Step 1: Write the proportion equation
   82,778 : 114,233.64 = 45,052.52 : x
2. Step 2: Convert to fraction form
   82,778/114,233.64 = 45,052.52/x
3. Step 3: Cross multiply
   82,778x = 114,233.64 × 45,052.52
4. Step 4: Simplify right side
   82,778x = 5,146,513,350.77
5. Step 5: Solve for x
   x = 5,146,513,350.77/82,778
6. Step 6: Final answer
   x = 62,172.48