Finding the Fourth Proportional to 76,498, 105,577.14 and 42,964

Step by Step Solution

1. Step 1: Write the proportion equation
   76,498 : 105,577.14 = 42,964 : x
2. Step 2: Convert to fraction form
   76,498/105,577.14 = 42,964/x
3. Step 3: Cross multiply
   76,498x = 105,577.14 × 42,964
4. Step 4: Simplify right side
   76,498x = 4,536,016,242.96
5. Step 5: Solve for x
   x = 4,536,016,242.96/76,498
6. Step 6: Final answer
   x = 59,295.88