Finding the Fourth Proportional to 31,196.52, 46,779.66 and 10,413

Step by Step Solution

1. Step 1: Write the proportion equation
   31,196.52 : 46,779.66 = 10,413 : x
2. Step 2: Convert to fraction form
   31,196.52/46,779.66 = 10,413/x
3. Step 3: Cross multiply
   31,196.52x = 46,779.66 × 10,413
4. Step 4: Simplify right side
   31,196.52x = 487,116,599.58
5. Step 5: Solve for x
   x = 487,116,599.58/31,196.52
6. Step 6: Final answer
   x = 15,614.45