Finding the Fourth Proportional to 1,253.31, 1,880.82 and 522.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,253.31 : 1,880.82 = 522.90 : x
2. Step 2: Convert to fraction form
   1,253.31/1,880.82 = 522.90/x
3. Step 3: Cross multiply
   1,253.31x = 1,880.82 × 522.90
4. Step 4: Simplify right side
   1,253.31x = 983,480.78
5. Step 5: Solve for x
   x = 983,480.78/1,253.31
6. Step 6: Final answer
   x = 784.71