Finding the Fourth Proportional to 101,538.29, 152,307.72 and 34,977.57

Step by Step Solution

1. Step 1: Write the proportion equation
   101,538.29 : 152,307.72 = 34,977.57 : x
2. Step 2: Convert to fraction form
   101,538.29/152,307.72 = 34,977.57/x
3. Step 3: Cross multiply
   101,538.29x = 152,307.72 × 34,977.57
4. Step 4: Simplify right side
   101,538.29x = 5,327,353,937.84
5. Step 5: Solve for x
   x = 5,327,353,937.84/101,538.29
6. Step 6: Final answer
   x = 52,466.46