Finding the Fourth Proportional to 106,410.51, 159,617.34 and 31,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,410.51 : 159,617.34 = 31,538.25 : x
2. Step 2: Convert to fraction form
   106,410.51/159,617.34 = 31,538.25/x
3. Step 3: Cross multiply
   106,410.51x = 159,617.34 × 31,538.25
4. Step 4: Simplify right side
   106,410.51x = 5,034,051,573.26
5. Step 5: Solve for x
   x = 5,034,051,573.26/106,410.51
6. Step 6: Final answer
   x = 47,307.84