Finding the Fourth Proportional to 76,354.76, 114,576.96 and 31,978.10

Step by Step Solution

1. Step 1: Write the proportion equation
   76,354.76 : 114,576.96 = 31,978.10 : x
2. Step 2: Convert to fraction form
   76,354.76/114,576.96 = 31,978.10/x
3. Step 3: Cross multiply
   76,354.76x = 114,576.96 × 31,978.10
4. Step 4: Simplify right side
   76,354.76x = 3,663,953,484.58
5. Step 5: Solve for x
   x = 3,663,953,484.58/76,354.76
6. Step 6: Final answer
   x = 47,985.92