Finding the Fourth Proportional to 9,875.49, 14,810.22 and 5,192.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,875.49 : 14,810.22 = 5,192.96 : x
2. Step 2: Convert to fraction form
   9,875.49/14,810.22 = 5,192.96/x
3. Step 3: Cross multiply
   9,875.49x = 14,810.22 × 5,192.96
4. Step 4: Simplify right side
   9,875.49x = 76,908,889.31
5. Step 5: Solve for x
   x = 76,908,889.31/9,875.49
6. Step 6: Final answer
   x = 7,787.85